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Finding the Fourth Proportional to 218,001.38, 327,051.27 and 77,760

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Solution

The fourth proportional to 218,001.38, 327,051.27 and 77,760 is: 116,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,001.38 : 327,051.27 = 77,760 : x
  2. Step 2: Convert to fraction form
    218,001.38/327,051.27 = 77,760/x
  3. Step 3: Cross multiply
    218,001.38x = 327,051.27 × 77,760
  4. Step 4: Simplify right side
    218,001.38x = 25,431,506,755.20
  5. Step 5: Solve for x
    x = 25,431,506,755.20/218,001.38
  6. Step 6: Final answer
    x = 116,657.55

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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.