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Finding the Fourth Proportional to 82,329.72, 123,494.88 and 20,000.22

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Solution

The fourth proportional to 82,329.72, 123,494.88 and 20,000.22 is: 30,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329.72 : 123,494.88 = 20,000.22 : x
  2. Step 2: Convert to fraction form
    82,329.72/123,494.88 = 20,000.22/x
  3. Step 3: Cross multiply
    82,329.72x = 123,494.88 × 20,000.22
  4. Step 4: Simplify right side
    82,329.72x = 2,469,924,818.87
  5. Step 5: Solve for x
    x = 2,469,924,818.87/82,329.72
  6. Step 6: Final answer
    x = 30,000.40

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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.