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Finding the Fourth Proportional to 125,578.68, 188,363.16 and 42,472.68

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Solution

The fourth proportional to 125,578.68, 188,363.16 and 42,472.68 is: 63,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,578.68 : 188,363.16 = 42,472.68 : x
  2. Step 2: Convert to fraction form
    125,578.68/188,363.16 = 42,472.68/x
  3. Step 3: Cross multiply
    125,578.68x = 188,363.16 × 42,472.68
  4. Step 4: Simplify right side
    125,578.68x = 8,000,288,218.47
  5. Step 5: Solve for x
    x = 8,000,288,218.47/125,578.68
  6. Step 6: Final answer
    x = 63,707.38

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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.