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Finding the Fourth Proportional to 82,221.70, 123,311.15 and 34,812.40

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Solution

The fourth proportional to 82,221.70, 123,311.15 and 34,812.40 is: 52,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.70 : 123,311.15 = 34,812.40 : x
  2. Step 2: Convert to fraction form
    82,221.70/123,311.15 = 34,812.40/x
  3. Step 3: Cross multiply
    82,221.70x = 123,311.15 × 34,812.40
  4. Step 4: Simplify right side
    82,221.70x = 4,292,756,287.64
  5. Step 5: Solve for x
    x = 4,292,756,287.64/82,221.70
  6. Step 6: Final answer
    x = 52,209.53

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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.