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Finding the Fourth Proportional to 138,045.90, 207,068.85 and 135,713.10

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Solution

The fourth proportional to 138,045.90, 207,068.85 and 135,713.10 is: 203,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045.90 : 207,068.85 = 135,713.10 : x
  2. Step 2: Convert to fraction form
    138,045.90/207,068.85 = 135,713.10/x
  3. Step 3: Cross multiply
    138,045.90x = 207,068.85 × 135,713.10
  4. Step 4: Simplify right side
    138,045.90x = 28,101,955,546.94
  5. Step 5: Solve for x
    x = 28,101,955,546.94/138,045.90
  6. Step 6: Final answer
    x = 203,569.65

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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.