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Finding the Fourth Proportional to 100,378.38, 138,533.74 and 60,092.12

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Solution

The fourth proportional to 100,378.38, 138,533.74 and 60,092.12 is: 82,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.38 : 138,533.74 = 60,092.12 : x
  2. Step 2: Convert to fraction form
    100,378.38/138,533.74 = 60,092.12/x
  3. Step 3: Cross multiply
    100,378.38x = 138,533.74 × 60,092.12
  4. Step 4: Simplify right side
    100,378.38x = 8,324,786,128.13
  5. Step 5: Solve for x
    x = 8,324,786,128.13/100,378.38
  6. Step 6: Final answer
    x = 82,934.06

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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.