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Finding the Fourth Proportional to 218,532.66, 327,719.88 and 76,338.24

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Solution

The fourth proportional to 218,532.66, 327,719.88 and 76,338.24 is: 114,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532.66 : 327,719.88 = 76,338.24 : x
  2. Step 2: Convert to fraction form
    218,532.66/327,719.88 = 76,338.24/x
  3. Step 3: Cross multiply
    218,532.66x = 327,719.88 × 76,338.24
  4. Step 4: Simplify right side
    218,532.66x = 25,017,558,852.21
  5. Step 5: Solve for x
    x = 25,017,558,852.21/218,532.66
  6. Step 6: Final answer
    x = 114,479.73

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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.