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Finding the Fourth Proportional to 86,324.64, 129,346.17 and 52,974.30

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Solution

The fourth proportional to 86,324.64, 129,346.17 and 52,974.30 is: 79,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,324.64 : 129,346.17 = 52,974.30 : x
  2. Step 2: Convert to fraction form
    86,324.64/129,346.17 = 52,974.30/x
  3. Step 3: Cross multiply
    86,324.64x = 129,346.17 × 52,974.30
  4. Step 4: Simplify right side
    86,324.64x = 6,852,023,099.83
  5. Step 5: Solve for x
    x = 6,852,023,099.83/86,324.64
  6. Step 6: Final answer
    x = 79,375.06

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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.