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Finding the Fourth Proportional to 81,164, 121,795.82 and 34,416.88

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Solution

The fourth proportional to 81,164, 121,795.82 and 34,416.88 is: 51,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,164 : 121,795.82 = 34,416.88 : x
  2. Step 2: Convert to fraction form
    81,164/121,795.82 = 34,416.88/x
  3. Step 3: Cross multiply
    81,164x = 121,795.82 × 34,416.88
  4. Step 4: Simplify right side
    81,164x = 4,191,832,121.44
  5. Step 5: Solve for x
    x = 4,191,832,121.44/81,164
  6. Step 6: Final answer
    x = 51,646.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.