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Finding the Fourth Proportional to 57,882.31, 86,764.29 and 39,164.32

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Solution

The fourth proportional to 57,882.31, 86,764.29 and 39,164.32 is: 58,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.31 : 86,764.29 = 39,164.32 : x
  2. Step 2: Convert to fraction form
    57,882.31/86,764.29 = 39,164.32/x
  3. Step 3: Cross multiply
    57,882.31x = 86,764.29 × 39,164.32
  4. Step 4: Simplify right side
    57,882.31x = 3,398,064,418.13
  5. Step 5: Solve for x
    x = 3,398,064,418.13/57,882.31
  6. Step 6: Final answer
    x = 58,706.44

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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.