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Finding the Fourth Proportional to 64,142.52, 96,217.02 and 19,799.61

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Solution

The fourth proportional to 64,142.52, 96,217.02 and 19,799.61 is: 29,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142.52 : 96,217.02 = 19,799.61 : x
  2. Step 2: Convert to fraction form
    64,142.52/96,217.02 = 19,799.61/x
  3. Step 3: Cross multiply
    64,142.52x = 96,217.02 × 19,799.61
  4. Step 4: Simplify right side
    64,142.52x = 1,905,059,471.36
  5. Step 5: Solve for x
    x = 1,905,059,471.36/64,142.52
  6. Step 6: Final answer
    x = 29,700.42

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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.