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Finding the Fourth Proportional to 100,092.15, 138,125.97 and 54,769.64

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Solution

The fourth proportional to 100,092.15, 138,125.97 and 54,769.64 is: 75,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,092.15 : 138,125.97 = 54,769.64 : x
  2. Step 2: Convert to fraction form
    100,092.15/138,125.97 = 54,769.64/x
  3. Step 3: Cross multiply
    100,092.15x = 138,125.97 × 54,769.64
  4. Step 4: Simplify right side
    100,092.15x = 7,565,108,960.92
  5. Step 5: Solve for x
    x = 7,565,108,960.92/100,092.15
  6. Step 6: Final answer
    x = 75,581.44

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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.