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Finding the Fourth Proportional to 218,718.64, 327,961.32 and 113,276.08

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Solution

The fourth proportional to 218,718.64, 327,961.32 and 113,276.08 is: 169,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718.64 : 327,961.32 = 113,276.08 : x
  2. Step 2: Convert to fraction form
    218,718.64/327,961.32 = 113,276.08/x
  3. Step 3: Cross multiply
    218,718.64x = 327,961.32 × 113,276.08
  4. Step 4: Simplify right side
    218,718.64x = 37,150,172,721.23
  5. Step 5: Solve for x
    x = 37,150,172,721.23/218,718.64
  6. Step 6: Final answer
    x = 169,853.71

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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.