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Finding the Fourth Proportional to 125,314.08, 187,978.68 and 50,433.90

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Solution

The fourth proportional to 125,314.08, 187,978.68 and 50,433.90 is: 75,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,314.08 : 187,978.68 = 50,433.90 : x
  2. Step 2: Convert to fraction form
    125,314.08/187,978.68 = 50,433.90/x
  3. Step 3: Cross multiply
    125,314.08x = 187,978.68 × 50,433.90
  4. Step 4: Simplify right side
    125,314.08x = 9,480,497,949.25
  5. Step 5: Solve for x
    x = 9,480,497,949.25/125,314.08
  6. Step 6: Final answer
    x = 75,653.89

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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.