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Finding the Fourth Proportional to 169,471.72, 253,965.66 and 86,424.04

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Solution

The fourth proportional to 169,471.72, 253,965.66 and 86,424.04 is: 129,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,471.72 : 253,965.66 = 86,424.04 : x
  2. Step 2: Convert to fraction form
    169,471.72/253,965.66 = 86,424.04/x
  3. Step 3: Cross multiply
    169,471.72x = 253,965.66 × 86,424.04
  4. Step 4: Simplify right side
    169,471.72x = 21,948,738,358.47
  5. Step 5: Solve for x
    x = 21,948,738,358.47/169,471.72
  6. Step 6: Final answer
    x = 129,512.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.