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Finding the Fourth Proportional to 105,247.26, 157,868.64 and 34,169.78

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Solution

The fourth proportional to 105,247.26, 157,868.64 and 34,169.78 is: 51,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,247.26 : 157,868.64 = 34,169.78 : x
  2. Step 2: Convert to fraction form
    105,247.26/157,868.64 = 34,169.78/x
  3. Step 3: Cross multiply
    105,247.26x = 157,868.64 × 34,169.78
  4. Step 4: Simplify right side
    105,247.26x = 5,394,336,697.70
  5. Step 5: Solve for x
    x = 5,394,336,697.70/105,247.26
  6. Step 6: Final answer
    x = 51,253.94

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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.