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Finding the Fourth Proportional to 86,268.62, 129,416 and 27,098.74

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Solution

The fourth proportional to 86,268.62, 129,416 and 27,098.74 is: 40,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,268.62 : 129,416 = 27,098.74 : x
  2. Step 2: Convert to fraction form
    86,268.62/129,416 = 27,098.74/x
  3. Step 3: Cross multiply
    86,268.62x = 129,416 × 27,098.74
  4. Step 4: Simplify right side
    86,268.62x = 3,507,010,535.84
  5. Step 5: Solve for x
    x = 3,507,010,535.84/86,268.62
  6. Step 6: Final answer
    x = 40,652.22

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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.