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Finding the Fourth Proportional to 125,759.34, 188,644.14 and 40,378.86

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Solution

The fourth proportional to 125,759.34, 188,644.14 and 40,378.86 is: 60,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,759.34 : 188,644.14 = 40,378.86 : x
  2. Step 2: Convert to fraction form
    125,759.34/188,644.14 = 40,378.86/x
  3. Step 3: Cross multiply
    125,759.34x = 188,644.14 × 40,378.86
  4. Step 4: Simplify right side
    125,759.34x = 7,617,235,318.88
  5. Step 5: Solve for x
    x = 7,617,235,318.88/125,759.34
  6. Step 6: Final answer
    x = 60,569.94

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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.