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Finding the Fourth Proportional to 83,382.74, 115,067.36 and 45,141.28

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Solution

The fourth proportional to 83,382.74, 115,067.36 and 45,141.28 is: 62,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.74 : 115,067.36 = 45,141.28 : x
  2. Step 2: Convert to fraction form
    83,382.74/115,067.36 = 45,141.28/x
  3. Step 3: Cross multiply
    83,382.74x = 115,067.36 × 45,141.28
  4. Step 4: Simplify right side
    83,382.74x = 5,194,287,916.62
  5. Step 5: Solve for x
    x = 5,194,287,916.62/83,382.74
  6. Step 6: Final answer
    x = 62,294.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.