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Finding the Fourth Proportional to 82,456.84, 113,720.11 and 63,382.83

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Solution

The fourth proportional to 82,456.84, 113,720.11 and 63,382.83 is: 87,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,456.84 : 113,720.11 = 63,382.83 : x
  2. Step 2: Convert to fraction form
    82,456.84/113,720.11 = 63,382.83/x
  3. Step 3: Cross multiply
    82,456.84x = 113,720.11 × 63,382.83
  4. Step 4: Simplify right side
    82,456.84x = 7,207,902,399.71
  5. Step 5: Solve for x
    x = 7,207,902,399.71/82,456.84
  6. Step 6: Final answer
    x = 87,414.24

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1.5x scale

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.