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Finding the Fourth Proportional to 81,331.69, 112,307 and 51,167.49

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Solution

The fourth proportional to 81,331.69, 112,307 and 51,167.49 is: 70,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,331.69 : 112,307 = 51,167.49 : x
  2. Step 2: Convert to fraction form
    81,331.69/112,307 = 51,167.49/x
  3. Step 3: Cross multiply
    81,331.69x = 112,307 × 51,167.49
  4. Step 4: Simplify right side
    81,331.69x = 5,746,467,299.43
  5. Step 5: Solve for x
    x = 5,746,467,299.43/81,331.69
  6. Step 6: Final answer
    x = 70,654.71

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Half scale
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Double scale
Find fourth proportional to 81,332.69, 112,308.38 and 51,168.49
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.