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Finding the Fourth Proportional to 82,414.96, 113,481.84 and 74,815.12

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Solution

The fourth proportional to 82,414.96, 113,481.84 and 74,815.12 is: 103,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.96 : 113,481.84 = 74,815.12 : x
  2. Step 2: Convert to fraction form
    82,414.96/113,481.84 = 74,815.12/x
  3. Step 3: Cross multiply
    82,414.96x = 113,481.84 × 74,815.12
  4. Step 4: Simplify right side
    82,414.96x = 8,490,157,477.42
  5. Step 5: Solve for x
    x = 8,490,157,477.42/82,414.96
  6. Step 6: Final answer
    x = 103,017.19

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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.