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Finding the Fourth Proportional to 100,423.92, 138,597.30 and 57,982.38

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Solution

The fourth proportional to 100,423.92, 138,597.30 and 57,982.38 is: 80,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,423.92 : 138,597.30 = 57,982.38 : x
  2. Step 2: Convert to fraction form
    100,423.92/138,597.30 = 57,982.38/x
  3. Step 3: Cross multiply
    100,423.92x = 138,597.30 × 57,982.38
  4. Step 4: Simplify right side
    100,423.92x = 8,036,201,315.57
  5. Step 5: Solve for x
    x = 8,036,201,315.57/100,423.92
  6. Step 6: Final answer
    x = 80,022.78

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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.