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Finding the Fourth Proportional to 137,456.52, 189,702.04 and 80,092.86

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Solution

The fourth proportional to 137,456.52, 189,702.04 and 80,092.86 is: 110,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,456.52 : 189,702.04 = 80,092.86 : x
  2. Step 2: Convert to fraction form
    137,456.52/189,702.04 = 80,092.86/x
  3. Step 3: Cross multiply
    137,456.52x = 189,702.04 × 80,092.86
  4. Step 4: Simplify right side
    137,456.52x = 15,193,778,931.43
  5. Step 5: Solve for x
    x = 15,193,778,931.43/137,456.52
  6. Step 6: Final answer
    x = 110,535.16

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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.