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Finding the Fourth Proportional to 218,456.64, 327,719.52 and 78,212.16

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Solution

The fourth proportional to 218,456.64, 327,719.52 and 78,212.16 is: 117,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,456.64 : 327,719.52 = 78,212.16 : x
  2. Step 2: Convert to fraction form
    218,456.64/327,719.52 = 78,212.16/x
  3. Step 3: Cross multiply
    218,456.64x = 327,719.52 × 78,212.16
  4. Step 4: Simplify right side
    218,456.64x = 25,631,651,533.36
  5. Step 5: Solve for x
    x = 25,631,651,533.36/218,456.64
  6. Step 6: Final answer
    x = 117,330.61

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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.