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Finding the Fourth Proportional to 82,242.84, 123,142.48 and 53,709.13

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Solution

The fourth proportional to 82,242.84, 123,142.48 and 53,709.13 is: 80,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,242.84 : 123,142.48 = 53,709.13 : x
  2. Step 2: Convert to fraction form
    82,242.84/123,142.48 = 53,709.13/x
  3. Step 3: Cross multiply
    82,242.84x = 123,142.48 × 53,709.13
  4. Step 4: Simplify right side
    82,242.84x = 6,613,874,793.82
  5. Step 5: Solve for x
    x = 6,613,874,793.82/82,242.84
  6. Step 6: Final answer
    x = 80,418.85

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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.