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Finding the Fourth Proportional to 123,133.64, 169,917.10 and 71,446.74

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Solution

The fourth proportional to 123,133.64, 169,917.10 and 71,446.74 is: 98,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,133.64 : 169,917.10 = 71,446.74 : x
  2. Step 2: Convert to fraction form
    123,133.64/169,917.10 = 71,446.74/x
  3. Step 3: Cross multiply
    123,133.64x = 169,917.10 × 71,446.74
  4. Step 4: Simplify right side
    123,133.64x = 12,140,022,865.25
  5. Step 5: Solve for x
    x = 12,140,022,865.25/123,133.64
  6. Step 6: Final answer
    x = 98,592.25

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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.