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Finding the Fourth Proportional to 42,687.36, 64,152 and 25,165.44

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Solution

The fourth proportional to 42,687.36, 64,152 and 25,165.44 is: 37,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,687.36 : 64,152 = 25,165.44 : x
  2. Step 2: Convert to fraction form
    42,687.36/64,152 = 25,165.44/x
  3. Step 3: Cross multiply
    42,687.36x = 64,152 × 25,165.44
  4. Step 4: Simplify right side
    42,687.36x = 1,614,413,306.88
  5. Step 5: Solve for x
    x = 1,614,413,306.88/42,687.36
  6. Step 6: Final answer
    x = 37,819.47

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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.