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Finding the Fourth Proportional to 100,171.92, 138,229.02 and 57,733.32

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Solution

The fourth proportional to 100,171.92, 138,229.02 and 57,733.32 is: 79,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,171.92 : 138,229.02 = 57,733.32 : x
  2. Step 2: Convert to fraction form
    100,171.92/138,229.02 = 57,733.32/x
  3. Step 3: Cross multiply
    100,171.92x = 138,229.02 × 57,733.32
  4. Step 4: Simplify right side
    100,171.92x = 7,980,420,244.95
  5. Step 5: Solve for x
    x = 7,980,420,244.95/100,171.92
  6. Step 6: Final answer
    x = 79,667.24

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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.