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Finding the Fourth Proportional to 87,127.30, 130,788.15 and 81,416.80

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Solution

The fourth proportional to 87,127.30, 130,788.15 and 81,416.80 is: 122,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,127.30 : 130,788.15 = 81,416.80 : x
  2. Step 2: Convert to fraction form
    87,127.30/130,788.15 = 81,416.80/x
  3. Step 3: Cross multiply
    87,127.30x = 130,788.15 × 81,416.80
  4. Step 4: Simplify right side
    87,127.30x = 10,648,352,650.92
  5. Step 5: Solve for x
    x = 10,648,352,650.92/87,127.30
  6. Step 6: Final answer
    x = 122,216.03

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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.