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Finding the Fourth Proportional to 42,687.56, 64,024.11 and 15,664.34

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Solution

The fourth proportional to 42,687.56, 64,024.11 and 15,664.34 is: 23,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,687.56 : 64,024.11 = 15,664.34 : x
  2. Step 2: Convert to fraction form
    42,687.56/64,024.11 = 15,664.34/x
  3. Step 3: Cross multiply
    42,687.56x = 64,024.11 × 15,664.34
  4. Step 4: Simplify right side
    42,687.56x = 1,002,895,107.12
  5. Step 5: Solve for x
    x = 1,002,895,107.12/42,687.56
  6. Step 6: Final answer
    x = 23,493.85

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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.