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Finding the Fourth Proportional to 100,442.98, 138,609.38 and 55,120.78

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Solution

The fourth proportional to 100,442.98, 138,609.38 and 55,120.78 is: 76,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442.98 : 138,609.38 = 55,120.78 : x
  2. Step 2: Convert to fraction form
    100,442.98/138,609.38 = 55,120.78/x
  3. Step 3: Cross multiply
    100,442.98x = 138,609.38 × 55,120.78
  4. Step 4: Simplify right side
    100,442.98x = 7,640,256,865.31
  5. Step 5: Solve for x
    x = 7,640,256,865.31/100,442.98
  6. Step 6: Final answer
    x = 76,065.61

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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.