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Finding the Fourth Proportional to 87,219.60, 130,829.90 and 31,061.90

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Solution

The fourth proportional to 87,219.60, 130,829.90 and 31,061.90 is: 46,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,219.60 : 130,829.90 = 31,061.90 : x
  2. Step 2: Convert to fraction form
    87,219.60/130,829.90 = 31,061.90/x
  3. Step 3: Cross multiply
    87,219.60x = 130,829.90 × 31,061.90
  4. Step 4: Simplify right side
    87,219.60x = 4,063,825,270.81
  5. Step 5: Solve for x
    x = 4,063,825,270.81/87,219.60
  6. Step 6: Final answer
    x = 46,593.03

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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.