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Finding the Fourth Proportional to 49,478, 68,279.64 and 27,121.52

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Solution

The fourth proportional to 49,478, 68,279.64 and 27,121.52 is: 37,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478 : 68,279.64 = 27,121.52 : x
  2. Step 2: Convert to fraction form
    49,478/68,279.64 = 27,121.52/x
  3. Step 3: Cross multiply
    49,478x = 68,279.64 × 27,121.52
  4. Step 4: Simplify right side
    49,478x = 1,851,847,621.85
  5. Step 5: Solve for x
    x = 1,851,847,621.85/49,478
  6. Step 6: Final answer
    x = 37,427.70

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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.