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Finding the Fourth Proportional to 82,280.16, 123,426 and 40,716

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Solution

The fourth proportional to 82,280.16, 123,426 and 40,716 is: 61,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,280.16 : 123,426 = 40,716 : x
  2. Step 2: Convert to fraction form
    82,280.16/123,426 = 40,716/x
  3. Step 3: Cross multiply
    82,280.16x = 123,426 × 40,716
  4. Step 4: Simplify right side
    82,280.16x = 5,025,413,016
  5. Step 5: Solve for x
    x = 5,025,413,016/82,280.16
  6. Step 6: Final answer
    x = 61,076.85

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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.