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Finding the Fourth Proportional to 81,452.98, 122,103.73 and 31,565.62

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Solution

The fourth proportional to 81,452.98, 122,103.73 and 31,565.62 is: 47,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452.98 : 122,103.73 = 31,565.62 : x
  2. Step 2: Convert to fraction form
    81,452.98/122,103.73 = 31,565.62/x
  3. Step 3: Cross multiply
    81,452.98x = 122,103.73 × 31,565.62
  4. Step 4: Simplify right side
    81,452.98x = 3,854,279,941.76
  5. Step 5: Solve for x
    x = 3,854,279,941.76/81,452.98
  6. Step 6: Final answer
    x = 47,319.08

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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.