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Finding the Fourth Proportional to 100,694.42, 138,958.10 and 57,687.84

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Solution

The fourth proportional to 100,694.42, 138,958.10 and 57,687.84 is: 79,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694.42 : 138,958.10 = 57,687.84 : x
  2. Step 2: Convert to fraction form
    100,694.42/138,958.10 = 57,687.84/x
  3. Step 3: Cross multiply
    100,694.42x = 138,958.10 × 57,687.84
  4. Step 4: Simplify right side
    100,694.42x = 8,016,191,944.71
  5. Step 5: Solve for x
    x = 8,016,191,944.71/100,694.42
  6. Step 6: Final answer
    x = 79,609.10

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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.