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Finding the Fourth Proportional to 218,731.20, 328,096.80 and 108,139.20

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Solution

The fourth proportional to 218,731.20, 328,096.80 and 108,139.20 is: 162,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,731.20 : 328,096.80 = 108,139.20 : x
  2. Step 2: Convert to fraction form
    218,731.20/328,096.80 = 108,139.20/x
  3. Step 3: Cross multiply
    218,731.20x = 328,096.80 × 108,139.20
  4. Step 4: Simplify right side
    218,731.20x = 35,480,125,474.56
  5. Step 5: Solve for x
    x = 35,480,125,474.56/218,731.20
  6. Step 6: Final answer
    x = 162,208.80

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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.