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Finding the Fourth Proportional to 148,843.30, 205,400.17 and 85,177.02

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Solution

The fourth proportional to 148,843.30, 205,400.17 and 85,177.02 is: 117,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,843.30 : 205,400.17 = 85,177.02 : x
  2. Step 2: Convert to fraction form
    148,843.30/205,400.17 = 85,177.02/x
  3. Step 3: Cross multiply
    148,843.30x = 205,400.17 × 85,177.02
  4. Step 4: Simplify right side
    148,843.30x = 17,495,374,388.09
  5. Step 5: Solve for x
    x = 17,495,374,388.09/148,843.30
  6. Step 6: Final answer
    x = 117,542.24

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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.