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Finding the Fourth Proportional to 100,091.78, 138,125.47 and 54,769.24

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Solution

The fourth proportional to 100,091.78, 138,125.47 and 54,769.24 is: 75,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,091.78 : 138,125.47 = 54,769.24 : x
  2. Step 2: Convert to fraction form
    100,091.78/138,125.47 = 54,769.24/x
  3. Step 3: Cross multiply
    100,091.78x = 138,125.47 × 54,769.24
  4. Step 4: Simplify right side
    100,091.78x = 7,565,027,016.54
  5. Step 5: Solve for x
    x = 7,565,027,016.54/100,091.78
  6. Step 6: Final answer
    x = 75,580.90

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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.