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Finding the Fourth Proportional to 42,488, 63,750.24 and 22,760.96

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Solution

The fourth proportional to 42,488, 63,750.24 and 22,760.96 is: 34,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,488 : 63,750.24 = 22,760.96 : x
  2. Step 2: Convert to fraction form
    42,488/63,750.24 = 22,760.96/x
  3. Step 3: Cross multiply
    42,488x = 63,750.24 × 22,760.96
  4. Step 4: Simplify right side
    42,488x = 1,451,016,662.63
  5. Step 5: Solve for x
    x = 1,451,016,662.63/42,488
  6. Step 6: Final answer
    x = 34,151.21

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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.