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Finding the Fourth Proportional to 132,436.10, 198,326.10 and 84,978.20

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Solution

The fourth proportional to 132,436.10, 198,326.10 and 84,978.20 is: 127,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,436.10 : 198,326.10 = 84,978.20 : x
  2. Step 2: Convert to fraction form
    132,436.10/198,326.10 = 84,978.20/x
  3. Step 3: Cross multiply
    132,436.10x = 198,326.10 × 84,978.20
  4. Step 4: Simplify right side
    132,436.10x = 16,853,394,991.02
  5. Step 5: Solve for x
    x = 16,853,394,991.02/132,436.10
  6. Step 6: Final answer
    x = 127,256.81

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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.