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Finding the Fourth Proportional to 87,452, 131,205.66 and 31,290.86

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Solution

The fourth proportional to 87,452, 131,205.66 and 31,290.86 is: 46,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,452 : 131,205.66 = 31,290.86 : x
  2. Step 2: Convert to fraction form
    87,452/131,205.66 = 31,290.86/x
  3. Step 3: Cross multiply
    87,452x = 131,205.66 × 31,290.86
  4. Step 4: Simplify right side
    87,452x = 4,105,537,938.27
  5. Step 5: Solve for x
    x = 4,105,537,938.27/87,452
  6. Step 6: Final answer
    x = 46,946.19

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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.