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Finding the Fourth Proportional to 90,773.74, 136,161.21 and 31,609.21

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Solution

The fourth proportional to 90,773.74, 136,161.21 and 31,609.21 is: 47,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,773.74 : 136,161.21 = 31,609.21 : x
  2. Step 2: Convert to fraction form
    90,773.74/136,161.21 = 31,609.21/x
  3. Step 3: Cross multiply
    90,773.74x = 136,161.21 × 31,609.21
  4. Step 4: Simplify right side
    90,773.74x = 4,303,948,280.74
  5. Step 5: Solve for x
    x = 4,303,948,280.74/90,773.74
  6. Step 6: Final answer
    x = 47,414.02

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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.