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Finding the Fourth Proportional to 90,206.64, 135,322.92 and 27,882

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Solution

The fourth proportional to 90,206.64, 135,322.92 and 27,882 is: 41,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,206.64 : 135,322.92 = 27,882 : x
  2. Step 2: Convert to fraction form
    90,206.64/135,322.92 = 27,882/x
  3. Step 3: Cross multiply
    90,206.64x = 135,322.92 × 27,882
  4. Step 4: Simplify right side
    90,206.64x = 3,773,073,655.44
  5. Step 5: Solve for x
    x = 3,773,073,655.44/90,206.64
  6. Step 6: Final answer
    x = 41,827.01

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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.