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Finding the Fourth Proportional to 138,337.84, 207,305.88 and 75,104.38

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Solution

The fourth proportional to 138,337.84, 207,305.88 and 75,104.38 is: 112,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,337.84 : 207,305.88 = 75,104.38 : x
  2. Step 2: Convert to fraction form
    138,337.84/207,305.88 = 75,104.38/x
  3. Step 3: Cross multiply
    138,337.84x = 207,305.88 × 75,104.38
  4. Step 4: Simplify right side
    138,337.84x = 15,569,579,587.75
  5. Step 5: Solve for x
    x = 15,569,579,587.75/138,337.84
  6. Step 6: Final answer
    x = 112,547.51

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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.