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Finding the Fourth Proportional to 100,206.92, 138,190.12 and 59,914.15

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Solution

The fourth proportional to 100,206.92, 138,190.12 and 59,914.15 is: 82,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.92 : 138,190.12 = 59,914.15 : x
  2. Step 2: Convert to fraction form
    100,206.92/138,190.12 = 59,914.15/x
  3. Step 3: Cross multiply
    100,206.92x = 138,190.12 × 59,914.15
  4. Step 4: Simplify right side
    100,206.92x = 8,279,543,082.94
  5. Step 5: Solve for x
    x = 8,279,543,082.94/100,206.92
  6. Step 6: Final answer
    x = 82,624.46

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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.