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Finding the Fourth Proportional to 64,311.76, 96,490.32 and 19,949.68

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Solution

The fourth proportional to 64,311.76, 96,490.32 and 19,949.68 is: 29,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,311.76 : 96,490.32 = 19,949.68 : x
  2. Step 2: Convert to fraction form
    64,311.76/96,490.32 = 19,949.68/x
  3. Step 3: Cross multiply
    64,311.76x = 96,490.32 × 19,949.68
  4. Step 4: Simplify right side
    64,311.76x = 1,924,951,007.10
  5. Step 5: Solve for x
    x = 1,924,951,007.10/64,311.76
  6. Step 6: Final answer
    x = 29,931.56

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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.