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Finding the Fourth Proportional to 57,242.75, 85,859.80 and 29,145.20

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Solution

The fourth proportional to 57,242.75, 85,859.80 and 29,145.20 is: 43,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.75 : 85,859.80 = 29,145.20 : x
  2. Step 2: Convert to fraction form
    57,242.75/85,859.80 = 29,145.20/x
  3. Step 3: Cross multiply
    57,242.75x = 85,859.80 × 29,145.20
  4. Step 4: Simplify right side
    57,242.75x = 2,502,400,540.80
  5. Step 5: Solve for x
    x = 2,502,400,540.80/57,242.75
  6. Step 6: Final answer
    x = 43,715.59

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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.