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Finding the Fourth Proportional to 122,092.92, 168,502.14 and 74,374.20

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Solution

The fourth proportional to 122,092.92, 168,502.14 and 74,374.20 is: 102,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,092.92 : 168,502.14 = 74,374.20 : x
  2. Step 2: Convert to fraction form
    122,092.92/168,502.14 = 74,374.20/x
  3. Step 3: Cross multiply
    122,092.92x = 168,502.14 × 74,374.20
  4. Step 4: Simplify right side
    122,092.92x = 12,532,211,860.79
  5. Step 5: Solve for x
    x = 12,532,211,860.79/122,092.92
  6. Step 6: Final answer
    x = 102,644.87

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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.