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Finding the Fourth Proportional to 42,456.96, 63,658.44 and 20,258.64

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Solution

The fourth proportional to 42,456.96, 63,658.44 and 20,258.64 is: 30,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456.96 : 63,658.44 = 20,258.64 : x
  2. Step 2: Convert to fraction form
    42,456.96/63,658.44 = 20,258.64/x
  3. Step 3: Cross multiply
    42,456.96x = 63,658.44 × 20,258.64
  4. Step 4: Simplify right side
    42,456.96x = 1,289,633,418.92
  5. Step 5: Solve for x
    x = 1,289,633,418.92/42,456.96
  6. Step 6: Final answer
    x = 30,375.08

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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.