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Finding the Fourth Proportional to 87,170, 130,802.25 and 67,487

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Solution

The fourth proportional to 87,170, 130,802.25 and 67,487 is: 101,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,170 : 130,802.25 = 67,487 : x
  2. Step 2: Convert to fraction form
    87,170/130,802.25 = 67,487/x
  3. Step 3: Cross multiply
    87,170x = 130,802.25 × 67,487
  4. Step 4: Simplify right side
    87,170x = 8,827,451,445.75
  5. Step 5: Solve for x
    x = 8,827,451,445.75/87,170
  6. Step 6: Final answer
    x = 101,267.08

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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.