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Finding the Fourth Proportional to 125,508, 188,291.16 and 42,402

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Solution

The fourth proportional to 125,508, 188,291.16 and 42,402 is: 63,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,508 : 188,291.16 = 42,402 : x
  2. Step 2: Convert to fraction form
    125,508/188,291.16 = 42,402/x
  3. Step 3: Cross multiply
    125,508x = 188,291.16 × 42,402
  4. Step 4: Simplify right side
    125,508x = 7,983,921,766.32
  5. Step 5: Solve for x
    x = 7,983,921,766.32/125,508
  6. Step 6: Final answer
    x = 63,612.85

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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.