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Finding the Fourth Proportional to 86,618.87, 129,932.89 and 27,459.16

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Solution

The fourth proportional to 86,618.87, 129,932.89 and 27,459.16 is: 41,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,618.87 : 129,932.89 = 27,459.16 : x
  2. Step 2: Convert to fraction form
    86,618.87/129,932.89 = 27,459.16/x
  3. Step 3: Cross multiply
    86,618.87x = 129,932.89 × 27,459.16
  4. Step 4: Simplify right side
    86,618.87x = 3,567,847,725.26
  5. Step 5: Solve for x
    x = 3,567,847,725.26/86,618.87
  6. Step 6: Final answer
    x = 41,190.19

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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.