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Finding the Fourth Proportional to 66,414, 99,625.32 and 29,478

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Solution

The fourth proportional to 66,414, 99,625.32 and 29,478 is: 44,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,414 : 99,625.32 = 29,478 : x
  2. Step 2: Convert to fraction form
    66,414/99,625.32 = 29,478/x
  3. Step 3: Cross multiply
    66,414x = 99,625.32 × 29,478
  4. Step 4: Simplify right side
    66,414x = 2,936,755,182.96
  5. Step 5: Solve for x
    x = 2,936,755,182.96/66,414
  6. Step 6: Final answer
    x = 44,218.92

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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.