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Finding the Fourth Proportional to 100,213.91, 138,313.02 and 59,932.10

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Solution

The fourth proportional to 100,213.91, 138,313.02 and 59,932.10 is: 82,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.91 : 138,313.02 = 59,932.10 : x
  2. Step 2: Convert to fraction form
    100,213.91/138,313.02 = 59,932.10/x
  3. Step 3: Cross multiply
    100,213.91x = 138,313.02 × 59,932.10
  4. Step 4: Simplify right side
    100,213.91x = 8,289,389,979.35
  5. Step 5: Solve for x
    x = 8,289,389,979.35/100,213.91
  6. Step 6: Final answer
    x = 82,716.96

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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.