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Finding the Fourth Proportional to 57,044.64, 78,721.52 and 31,894.14

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Solution

The fourth proportional to 57,044.64, 78,721.52 and 31,894.14 is: 44,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044.64 : 78,721.52 = 31,894.14 : x
  2. Step 2: Convert to fraction form
    57,044.64/78,721.52 = 31,894.14/x
  3. Step 3: Cross multiply
    57,044.64x = 78,721.52 × 31,894.14
  4. Step 4: Simplify right side
    57,044.64x = 2,510,755,179.89
  5. Step 5: Solve for x
    x = 2,510,755,179.89/57,044.64
  6. Step 6: Final answer
    x = 44,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.