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Finding the Fourth Proportional to 125,148.87, 187,723.94 and 31,654.71

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Solution

The fourth proportional to 125,148.87, 187,723.94 and 31,654.71 is: 47,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,148.87 : 187,723.94 = 31,654.71 : x
  2. Step 2: Convert to fraction form
    125,148.87/187,723.94 = 31,654.71/x
  3. Step 3: Cross multiply
    125,148.87x = 187,723.94 × 31,654.71
  4. Step 4: Simplify right side
    125,148.87x = 5,942,346,880.76
  5. Step 5: Solve for x
    x = 5,942,346,880.76/125,148.87
  6. Step 6: Final answer
    x = 47,482.23

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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.