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Finding the Fourth Proportional to 87,116.87, 130,597.92 and 30,949.58

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Solution

The fourth proportional to 87,116.87, 130,597.92 and 30,949.58 is: 46,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,116.87 : 130,597.92 = 30,949.58 : x
  2. Step 2: Convert to fraction form
    87,116.87/130,597.92 = 30,949.58/x
  3. Step 3: Cross multiply
    87,116.87x = 130,597.92 × 30,949.58
  4. Step 4: Simplify right side
    87,116.87x = 4,041,951,099.37
  5. Step 5: Solve for x
    x = 4,041,951,099.37/87,116.87
  6. Step 6: Final answer
    x = 46,396.88

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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.