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Finding the Fourth Proportional to 87,093, 130,640.14 and 21,429

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Solution

The fourth proportional to 87,093, 130,640.14 and 21,429 is: 32,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,093 : 130,640.14 = 21,429 : x
  2. Step 2: Convert to fraction form
    87,093/130,640.14 = 21,429/x
  3. Step 3: Cross multiply
    87,093x = 130,640.14 × 21,429
  4. Step 4: Simplify right side
    87,093x = 2,799,487,560.06
  5. Step 5: Solve for x
    x = 2,799,487,560.06/87,093
  6. Step 6: Final answer
    x = 32,143.66

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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.