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Finding the Fourth Proportional to 148,381.78, 205,046.28 and 112,505.26

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Solution

The fourth proportional to 148,381.78, 205,046.28 and 112,505.26 is: 155,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,381.78 : 205,046.28 = 112,505.26 : x
  2. Step 2: Convert to fraction form
    148,381.78/205,046.28 = 112,505.26/x
  3. Step 3: Cross multiply
    148,381.78x = 205,046.28 × 112,505.26
  4. Step 4: Simplify right side
    148,381.78x = 23,068,785,043.43
  5. Step 5: Solve for x
    x = 23,068,785,043.43/148,381.78
  6. Step 6: Final answer
    x = 155,469.12

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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.