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Finding the Fourth Proportional to 109,391.66, 164,115.16 and 30,505.90

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Solution

The fourth proportional to 109,391.66, 164,115.16 and 30,505.90 is: 45,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,391.66 : 164,115.16 = 30,505.90 : x
  2. Step 2: Convert to fraction form
    109,391.66/164,115.16 = 30,505.90/x
  3. Step 3: Cross multiply
    109,391.66x = 164,115.16 × 30,505.90
  4. Step 4: Simplify right side
    109,391.66x = 5,006,480,659.44
  5. Step 5: Solve for x
    x = 5,006,480,659.44/109,391.66
  6. Step 6: Final answer
    x = 45,766.57

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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.