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Finding the Fourth Proportional to 212,633.80, 318,839.96 and 100,283.85

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Solution

The fourth proportional to 212,633.80, 318,839.96 and 100,283.85 is: 150,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,633.80 : 318,839.96 = 100,283.85 : x
  2. Step 2: Convert to fraction form
    212,633.80/318,839.96 = 100,283.85/x
  3. Step 3: Cross multiply
    212,633.80x = 318,839.96 × 100,283.85
  4. Step 4: Simplify right side
    212,633.80x = 31,974,498,221.23
  5. Step 5: Solve for x
    x = 31,974,498,221.23/212,633.80
  6. Step 6: Final answer
    x = 150,373.55

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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.