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Finding the Fourth Proportional to 187,229.60, 280,845.60 and 74,919.20

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Solution

The fourth proportional to 187,229.60, 280,845.60 and 74,919.20 is: 112,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,229.60 : 280,845.60 = 74,919.20 : x
  2. Step 2: Convert to fraction form
    187,229.60/280,845.60 = 74,919.20/x
  3. Step 3: Cross multiply
    187,229.60x = 280,845.60 × 74,919.20
  4. Step 4: Simplify right side
    187,229.60x = 21,040,727,675.52
  5. Step 5: Solve for x
    x = 21,040,727,675.52/187,229.60
  6. Step 6: Final answer
    x = 112,379.28

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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.