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Finding the Fourth Proportional to 218,304, 327,456.16 and 87,068.16

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Solution

The fourth proportional to 218,304, 327,456.16 and 87,068.16 is: 130,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,304 : 327,456.16 = 87,068.16 : x
  2. Step 2: Convert to fraction form
    218,304/327,456.16 = 87,068.16/x
  3. Step 3: Cross multiply
    218,304x = 327,456.16 × 87,068.16
  4. Step 4: Simplify right side
    218,304x = 28,511,005,331.87
  5. Step 5: Solve for x
    x = 28,511,005,331.87/218,304
  6. Step 6: Final answer
    x = 130,602.30

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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.