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Finding the Fourth Proportional to 64,257.60, 96,472.80 and 40,929.60

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Solution

The fourth proportional to 64,257.60, 96,472.80 and 40,929.60 is: 61,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,257.60 : 96,472.80 = 40,929.60 : x
  2. Step 2: Convert to fraction form
    64,257.60/96,472.80 = 40,929.60/x
  3. Step 3: Cross multiply
    64,257.60x = 96,472.80 × 40,929.60
  4. Step 4: Simplify right side
    64,257.60x = 3,948,593,114.88
  5. Step 5: Solve for x
    x = 3,948,593,114.88/64,257.60
  6. Step 6: Final answer
    x = 61,449.43

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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.