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Finding the Fourth Proportional to 123,793.78, 170,834.97 and 67,205.14

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Solution

The fourth proportional to 123,793.78, 170,834.97 and 67,205.14 is: 92,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,793.78 : 170,834.97 = 67,205.14 : x
  2. Step 2: Convert to fraction form
    123,793.78/170,834.97 = 67,205.14/x
  3. Step 3: Cross multiply
    123,793.78x = 170,834.97 × 67,205.14
  4. Step 4: Simplify right side
    123,793.78x = 11,480,988,075.75
  5. Step 5: Solve for x
    x = 11,480,988,075.75/123,793.78
  6. Step 6: Final answer
    x = 92,742.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.