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Finding the Fourth Proportional to 215,722.85, 323,584.18 and 65,963.12

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Solution

The fourth proportional to 215,722.85, 323,584.18 and 65,963.12 is: 98,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,722.85 : 323,584.18 = 65,963.12 : x
  2. Step 2: Convert to fraction form
    215,722.85/323,584.18 = 65,963.12/x
  3. Step 3: Cross multiply
    215,722.85x = 323,584.18 × 65,963.12
  4. Step 4: Simplify right side
    215,722.85x = 21,344,620,312.61
  5. Step 5: Solve for x
    x = 21,344,620,312.61/215,722.85
  6. Step 6: Final answer
    x = 98,944.64

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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.