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Finding the Fourth Proportional to 218,952.30, 328,438.17 and 85,820.70

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Solution

The fourth proportional to 218,952.30, 328,438.17 and 85,820.70 is: 128,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,952.30 : 328,438.17 = 85,820.70 : x
  2. Step 2: Convert to fraction form
    218,952.30/328,438.17 = 85,820.70/x
  3. Step 3: Cross multiply
    218,952.30x = 328,438.17 × 85,820.70
  4. Step 4: Simplify right side
    218,952.30x = 28,186,793,656.12
  5. Step 5: Solve for x
    x = 28,186,793,656.12/218,952.30
  6. Step 6: Final answer
    x = 128,734.86

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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.