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Finding the Fourth Proportional to 87,314.31, 130,972.38 and 69,894.87

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Solution

The fourth proportional to 87,314.31, 130,972.38 and 69,894.87 is: 104,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,314.31 : 130,972.38 = 69,894.87 : x
  2. Step 2: Convert to fraction form
    87,314.31/130,972.38 = 69,894.87/x
  3. Step 3: Cross multiply
    87,314.31x = 130,972.38 × 69,894.87
  4. Step 4: Simplify right side
    87,314.31x = 9,154,297,473.69
  5. Step 5: Solve for x
    x = 9,154,297,473.69/87,314.31
  6. Step 6: Final answer
    x = 104,843.04

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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.