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Finding the Fourth Proportional to 82,382.40, 123,543.36 and 26,965.44

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Solution

The fourth proportional to 82,382.40, 123,543.36 and 26,965.44 is: 40,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.40 : 123,543.36 = 26,965.44 : x
  2. Step 2: Convert to fraction form
    82,382.40/123,543.36 = 26,965.44/x
  3. Step 3: Cross multiply
    82,382.40x = 123,543.36 × 26,965.44
  4. Step 4: Simplify right side
    82,382.40x = 3,331,401,061.48
  5. Step 5: Solve for x
    x = 3,331,401,061.48/82,382.40
  6. Step 6: Final answer
    x = 40,438.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.