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Finding the Fourth Proportional to 100,144.92, 138,199.02 and 54,822.44

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Solution

The fourth proportional to 100,144.92, 138,199.02 and 54,822.44 is: 75,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,144.92 : 138,199.02 = 54,822.44 : x
  2. Step 2: Convert to fraction form
    100,144.92/138,199.02 = 54,822.44/x
  3. Step 3: Cross multiply
    100,144.92x = 138,199.02 × 54,822.44
  4. Step 4: Simplify right side
    100,144.92x = 7,576,407,482.01
  5. Step 5: Solve for x
    x = 7,576,407,482.01/100,144.92
  6. Step 6: Final answer
    x = 75,654.44

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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.