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Finding the Fourth Proportional to 138,169.62, 190,673.71 and 77,740.33

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Solution

The fourth proportional to 138,169.62, 190,673.71 and 77,740.33 is: 107,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.62 : 190,673.71 = 77,740.33 : x
  2. Step 2: Convert to fraction form
    138,169.62/190,673.71 = 77,740.33/x
  3. Step 3: Cross multiply
    138,169.62x = 190,673.71 × 77,740.33
  4. Step 4: Simplify right side
    138,169.62x = 14,823,037,469.79
  5. Step 5: Solve for x
    x = 14,823,037,469.79/138,169.62
  6. Step 6: Final answer
    x = 107,281.45

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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.