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Finding the Fourth Proportional to 123,367, 170,246.46 and 66,778.78

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Solution

The fourth proportional to 123,367, 170,246.46 and 66,778.78 is: 92,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,367 : 170,246.46 = 66,778.78 : x
  2. Step 2: Convert to fraction form
    123,367/170,246.46 = 66,778.78/x
  3. Step 3: Cross multiply
    123,367x = 170,246.46 × 66,778.78
  4. Step 4: Simplify right side
    123,367x = 11,368,850,898.12
  5. Step 5: Solve for x
    x = 11,368,850,898.12/123,367
  6. Step 6: Final answer
    x = 92,154.72

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1.5x scale

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.