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Finding the Fourth Proportional to 57,521.32, 86,165.34 and 29,761

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Solution

The fourth proportional to 57,521.32, 86,165.34 and 29,761 is: 44,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,521.32 : 86,165.34 = 29,761 : x
  2. Step 2: Convert to fraction form
    57,521.32/86,165.34 = 29,761/x
  3. Step 3: Cross multiply
    57,521.32x = 86,165.34 × 29,761
  4. Step 4: Simplify right side
    57,521.32x = 2,564,366,683.74
  5. Step 5: Solve for x
    x = 2,564,366,683.74/57,521.32
  6. Step 6: Final answer
    x = 44,581.15

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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.