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Finding the Fourth Proportional to 218,342.12, 327,498.42 and 85,197.56

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Solution

The fourth proportional to 218,342.12, 327,498.42 and 85,197.56 is: 127,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,342.12 : 327,498.42 = 85,197.56 : x
  2. Step 2: Convert to fraction form
    218,342.12/327,498.42 = 85,197.56/x
  3. Step 3: Cross multiply
    218,342.12x = 327,498.42 × 85,197.56
  4. Step 4: Simplify right side
    218,342.12x = 27,902,066,287.86
  5. Step 5: Solve for x
    x = 27,902,066,287.86/218,342.12
  6. Step 6: Final answer
    x = 127,790.58

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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.