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Finding the Fourth Proportional to 125,248.16, 187,854.96 and 69,191.84

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Solution

The fourth proportional to 125,248.16, 187,854.96 and 69,191.84 is: 103,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,248.16 : 187,854.96 = 69,191.84 : x
  2. Step 2: Convert to fraction form
    125,248.16/187,854.96 = 69,191.84/x
  3. Step 3: Cross multiply
    125,248.16x = 187,854.96 × 69,191.84
  4. Step 4: Simplify right side
    125,248.16x = 12,998,030,335.53
  5. Step 5: Solve for x
    x = 12,998,030,335.53/125,248.16
  6. Step 6: Final answer
    x = 103,778.21

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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.