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Finding the Fourth Proportional to 218,695.20, 328,042.80 and 108,103.20

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Solution

The fourth proportional to 218,695.20, 328,042.80 and 108,103.20 is: 162,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,695.20 : 328,042.80 = 108,103.20 : x
  2. Step 2: Convert to fraction form
    218,695.20/328,042.80 = 108,103.20/x
  3. Step 3: Cross multiply
    218,695.20x = 328,042.80 × 108,103.20
  4. Step 4: Simplify right side
    218,695.20x = 35,462,476,416.96
  5. Step 5: Solve for x
    x = 35,462,476,416.96/218,695.20
  6. Step 6: Final answer
    x = 162,154.80

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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.