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Finding the Fourth Proportional to 121,569.30, 182,353.95 and 86,139.90

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Solution

The fourth proportional to 121,569.30, 182,353.95 and 86,139.90 is: 129,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,569.30 : 182,353.95 = 86,139.90 : x
  2. Step 2: Convert to fraction form
    121,569.30/182,353.95 = 86,139.90/x
  3. Step 3: Cross multiply
    121,569.30x = 182,353.95 × 86,139.90
  4. Step 4: Simplify right side
    121,569.30x = 15,707,951,017.61
  5. Step 5: Solve for x
    x = 15,707,951,017.61/121,569.30
  6. Step 6: Final answer
    x = 129,209.85

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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.