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Finding the Fourth Proportional to 106,287.97, 159,434.34 and 39,691.77

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Solution

The fourth proportional to 106,287.97, 159,434.34 and 39,691.77 is: 59,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,287.97 : 159,434.34 = 39,691.77 : x
  2. Step 2: Convert to fraction form
    106,287.97/159,434.34 = 39,691.77/x
  3. Step 3: Cross multiply
    106,287.97x = 159,434.34 × 39,691.77
  4. Step 4: Simplify right side
    106,287.97x = 6,328,231,153.38
  5. Step 5: Solve for x
    x = 6,328,231,153.38/106,287.97
  6. Step 6: Final answer
    x = 59,538.55

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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.