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Finding the Fourth Proportional to 81,496.74, 122,221.38 and 31,565.70

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Solution

The fourth proportional to 81,496.74, 122,221.38 and 31,565.70 is: 47,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,496.74 : 122,221.38 = 31,565.70 : x
  2. Step 2: Convert to fraction form
    81,496.74/122,221.38 = 31,565.70/x
  3. Step 3: Cross multiply
    81,496.74x = 122,221.38 × 31,565.70
  4. Step 4: Simplify right side
    81,496.74x = 3,858,002,803.56
  5. Step 5: Solve for x
    x = 3,858,002,803.56/81,496.74
  6. Step 6: Final answer
    x = 47,339.35

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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.