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Finding the Fourth Proportional to 218,965.20, 328,204.80 and 85,801.20

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Solution

The fourth proportional to 218,965.20, 328,204.80 and 85,801.20 is: 128,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,965.20 : 328,204.80 = 85,801.20 : x
  2. Step 2: Convert to fraction form
    218,965.20/328,204.80 = 85,801.20/x
  3. Step 3: Cross multiply
    218,965.20x = 328,204.80 × 85,801.20
  4. Step 4: Simplify right side
    218,965.20x = 28,160,365,685.76
  5. Step 5: Solve for x
    x = 28,160,365,685.76/218,965.20
  6. Step 6: Final answer
    x = 128,606.58

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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.