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Finding the Fourth Proportional to 100,546.38, 138,747.87 and 55,215.54

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Solution

The fourth proportional to 100,546.38, 138,747.87 and 55,215.54 is: 76,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.38 : 138,747.87 = 55,215.54 : x
  2. Step 2: Convert to fraction form
    100,546.38/138,747.87 = 55,215.54/x
  3. Step 3: Cross multiply
    100,546.38x = 138,747.87 × 55,215.54
  4. Step 4: Simplify right side
    100,546.38x = 7,661,038,565.90
  5. Step 5: Solve for x
    x = 7,661,038,565.90/100,546.38
  6. Step 6: Final answer
    x = 76,194.08

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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.