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Finding the Fourth Proportional to 122,702.92, 169,318.36 and 71,727.60

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Solution

The fourth proportional to 122,702.92, 169,318.36 and 71,727.60 is: 98,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,702.92 : 169,318.36 = 71,727.60 : x
  2. Step 2: Convert to fraction form
    122,702.92/169,318.36 = 71,727.60/x
  3. Step 3: Cross multiply
    122,702.92x = 169,318.36 × 71,727.60
  4. Step 4: Simplify right side
    122,702.92x = 12,144,799,598.74
  5. Step 5: Solve for x
    x = 12,144,799,598.74/122,702.92
  6. Step 6: Final answer
    x = 98,977.27

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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.