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Finding the Fourth Proportional to 82,502.64, 123,731.28 and 40,361.04

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Solution

The fourth proportional to 82,502.64, 123,731.28 and 40,361.04 is: 60,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502.64 : 123,731.28 = 40,361.04 : x
  2. Step 2: Convert to fraction form
    82,502.64/123,731.28 = 40,361.04/x
  3. Step 3: Cross multiply
    82,502.64x = 123,731.28 × 40,361.04
  4. Step 4: Simplify right side
    82,502.64x = 4,993,923,141.33
  5. Step 5: Solve for x
    x = 4,993,923,141.33/82,502.64
  6. Step 6: Final answer
    x = 60,530.46

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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.