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Finding the Fourth Proportional to 125,862, 188,793 and 51,991.92

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Solution

The fourth proportional to 125,862, 188,793 and 51,991.92 is: 77,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,862 : 188,793 = 51,991.92 : x
  2. Step 2: Convert to fraction form
    125,862/188,793 = 51,991.92/x
  3. Step 3: Cross multiply
    125,862x = 188,793 × 51,991.92
  4. Step 4: Simplify right side
    125,862x = 9,815,710,552.56
  5. Step 5: Solve for x
    x = 9,815,710,552.56/125,862
  6. Step 6: Final answer
    x = 77,987.88

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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.