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Finding the Fourth Proportional to 86,165.87, 129,299.34 and 36,242.12

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Solution

The fourth proportional to 86,165.87, 129,299.34 and 36,242.12 is: 54,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,165.87 : 129,299.34 = 36,242.12 : x
  2. Step 2: Convert to fraction form
    86,165.87/129,299.34 = 36,242.12/x
  3. Step 3: Cross multiply
    86,165.87x = 129,299.34 × 36,242.12
  4. Step 4: Simplify right side
    86,165.87x = 4,686,081,549.70
  5. Step 5: Solve for x
    x = 4,686,081,549.70/86,165.87
  6. Step 6: Final answer
    x = 54,384.43

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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.