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Finding the Fourth Proportional to 81,170.64, 121,756.10 and 33,785.10

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Solution

The fourth proportional to 81,170.64, 121,756.10 and 33,785.10 is: 50,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,170.64 : 121,756.10 = 33,785.10 : x
  2. Step 2: Convert to fraction form
    81,170.64/121,756.10 = 33,785.10/x
  3. Step 3: Cross multiply
    81,170.64x = 121,756.10 × 33,785.10
  4. Step 4: Simplify right side
    81,170.64x = 4,113,541,845.18
  5. Step 5: Solve for x
    x = 4,113,541,845.18/81,170.64
  6. Step 6: Final answer
    x = 50,677.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.