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Finding the Fourth Proportional to 218,560, 327,891.84 and 70,816

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Solution

The fourth proportional to 218,560, 327,891.84 and 70,816 is: 106,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,560 : 327,891.84 = 70,816 : x
  2. Step 2: Convert to fraction form
    218,560/327,891.84 = 70,816/x
  3. Step 3: Cross multiply
    218,560x = 327,891.84 × 70,816
  4. Step 4: Simplify right side
    218,560x = 23,219,988,541.44
  5. Step 5: Solve for x
    x = 23,219,988,541.44/218,560
  6. Step 6: Final answer
    x = 106,240.80

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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.