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Finding the Fourth Proportional to 86,585.30, 129,890.10 and 27,414.80

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Solution

The fourth proportional to 86,585.30, 129,890.10 and 27,414.80 is: 41,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,585.30 : 129,890.10 = 27,414.80 : x
  2. Step 2: Convert to fraction form
    86,585.30/129,890.10 = 27,414.80/x
  3. Step 3: Cross multiply
    86,585.30x = 129,890.10 × 27,414.80
  4. Step 4: Simplify right side
    86,585.30x = 3,560,911,113.48
  5. Step 5: Solve for x
    x = 3,560,911,113.48/86,585.30
  6. Step 6: Final answer
    x = 41,126.05

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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.