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Finding the Fourth Proportional to 75,229.38, 112,720.95 and 45,656.28

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Solution

The fourth proportional to 75,229.38, 112,720.95 and 45,656.28 is: 68,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,229.38 : 112,720.95 = 45,656.28 : x
  2. Step 2: Convert to fraction form
    75,229.38/112,720.95 = 45,656.28/x
  3. Step 3: Cross multiply
    75,229.38x = 112,720.95 × 45,656.28
  4. Step 4: Simplify right side
    75,229.38x = 5,146,419,255.07
  5. Step 5: Solve for x
    x = 5,146,419,255.07/75,229.38
  6. Step 6: Final answer
    x = 68,409.70

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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.