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Finding the Fourth Proportional to 218,500.57, 327,750.86 and 78,357.61

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Solution

The fourth proportional to 218,500.57, 327,750.86 and 78,357.61 is: 117,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,500.57 : 327,750.86 = 78,357.61 : x
  2. Step 2: Convert to fraction form
    218,500.57/327,750.86 = 78,357.61/x
  3. Step 3: Cross multiply
    218,500.57x = 327,750.86 × 78,357.61
  4. Step 4: Simplify right side
    218,500.57x = 25,681,773,673.26
  5. Step 5: Solve for x
    x = 25,681,773,673.26/218,500.57
  6. Step 6: Final answer
    x = 117,536.42

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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.