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Finding the Fourth Proportional to 123,074.57, 169,843.13 and 71,401.70

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Solution

The fourth proportional to 123,074.57, 169,843.13 and 71,401.70 is: 98,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,074.57 : 169,843.13 = 71,401.70 : x
  2. Step 2: Convert to fraction form
    123,074.57/169,843.13 = 71,401.70/x
  3. Step 3: Cross multiply
    123,074.57x = 169,843.13 × 71,401.70
  4. Step 4: Simplify right side
    123,074.57x = 12,127,088,550.68
  5. Step 5: Solve for x
    x = 12,127,088,550.68/123,074.57
  6. Step 6: Final answer
    x = 98,534.48

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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.