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Finding the Fourth Proportional to 102,481.80, 141,371.10 and 83,382.93

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Solution

The fourth proportional to 102,481.80, 141,371.10 and 83,382.93 is: 115,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,481.80 : 141,371.10 = 83,382.93 : x
  2. Step 2: Convert to fraction form
    102,481.80/141,371.10 = 83,382.93/x
  3. Step 3: Cross multiply
    102,481.80x = 141,371.10 × 83,382.93
  4. Step 4: Simplify right side
    102,481.80x = 11,787,936,535.32
  5. Step 5: Solve for x
    x = 11,787,936,535.32/102,481.80
  6. Step 6: Final answer
    x = 115,024.68

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Why These Related Problems?

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