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Finding the Fourth Proportional to 123,524.26, 185,286.39 and 70,948.78

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Solution

The fourth proportional to 123,524.26, 185,286.39 and 70,948.78 is: 106,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,524.26 : 185,286.39 = 70,948.78 : x
  2. Step 2: Convert to fraction form
    123,524.26/185,286.39 = 70,948.78/x
  3. Step 3: Cross multiply
    123,524.26x = 185,286.39 × 70,948.78
  4. Step 4: Simplify right side
    123,524.26x = 13,145,843,321.10
  5. Step 5: Solve for x
    x = 13,145,843,321.10/123,524.26
  6. Step 6: Final answer
    x = 106,423.17

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1.5x scale

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.