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Finding the Fourth Proportional to 82,400.75, 123,262.74 and 65,793.22

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Solution

The fourth proportional to 82,400.75, 123,262.74 and 65,793.22 is: 98,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,400.75 : 123,262.74 = 65,793.22 : x
  2. Step 2: Convert to fraction form
    82,400.75/123,262.74 = 65,793.22/x
  3. Step 3: Cross multiply
    82,400.75x = 123,262.74 × 65,793.22
  4. Step 4: Simplify right side
    82,400.75x = 8,109,852,724.70
  5. Step 5: Solve for x
    x = 8,109,852,724.70/82,400.75
  6. Step 6: Final answer
    x = 98,419.64

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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.