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Finding the Fourth Proportional to 82,207.60, 123,311.40 and 57,324.40

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Solution

The fourth proportional to 82,207.60, 123,311.40 and 57,324.40 is: 85,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,207.60 : 123,311.40 = 57,324.40 : x
  2. Step 2: Convert to fraction form
    82,207.60/123,311.40 = 57,324.40/x
  3. Step 3: Cross multiply
    82,207.60x = 123,311.40 × 57,324.40
  4. Step 4: Simplify right side
    82,207.60x = 7,068,752,018.16
  5. Step 5: Solve for x
    x = 7,068,752,018.16/82,207.60
  6. Step 6: Final answer
    x = 85,986.60

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1.5x scale

Why These Related Problems?

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