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Finding the Fourth Proportional to 148,542, 204,989.04 and 81,474

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Solution

The fourth proportional to 148,542, 204,989.04 and 81,474 is: 112,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,542 : 204,989.04 = 81,474 : x
  2. Step 2: Convert to fraction form
    148,542/204,989.04 = 81,474/x
  3. Step 3: Cross multiply
    148,542x = 204,989.04 × 81,474
  4. Step 4: Simplify right side
    148,542x = 16,701,277,044.96
  5. Step 5: Solve for x
    x = 16,701,277,044.96/148,542
  6. Step 6: Final answer
    x = 112,434.71

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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.