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Finding the Fourth Proportional to 125,186.56, 187,772.80 and 31,686.40

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Solution

The fourth proportional to 125,186.56, 187,772.80 and 31,686.40 is: 47,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,186.56 : 187,772.80 = 31,686.40 : x
  2. Step 2: Convert to fraction form
    125,186.56/187,772.80 = 31,686.40/x
  3. Step 3: Cross multiply
    125,186.56x = 187,772.80 × 31,686.40
  4. Step 4: Simplify right side
    125,186.56x = 5,949,844,049.92
  5. Step 5: Solve for x
    x = 5,949,844,049.92/125,186.56
  6. Step 6: Final answer
    x = 47,527.82

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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.