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Finding the Fourth Proportional to 136,402.74, 204,381.63 and 83,700.90

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Solution

The fourth proportional to 136,402.74, 204,381.63 and 83,700.90 is: 125,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,402.74 : 204,381.63 = 83,700.90 : x
  2. Step 2: Convert to fraction form
    136,402.74/204,381.63 = 83,700.90/x
  3. Step 3: Cross multiply
    136,402.74x = 204,381.63 × 83,700.90
  4. Step 4: Simplify right side
    136,402.74x = 17,106,926,374.47
  5. Step 5: Solve for x
    x = 17,106,926,374.47/136,402.74
  6. Step 6: Final answer
    x = 125,414.83

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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.