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Finding the Fourth Proportional to 208,151.49, 311,947.52 and 108,103.53

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Solution

The fourth proportional to 208,151.49, 311,947.52 and 108,103.53 is: 162,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,151.49 : 311,947.52 = 108,103.53 : x
  2. Step 2: Convert to fraction form
    208,151.49/311,947.52 = 108,103.53/x
  3. Step 3: Cross multiply
    208,151.49x = 311,947.52 × 108,103.53
  4. Step 4: Simplify right side
    208,151.49x = 33,722,627,546.23
  5. Step 5: Solve for x
    x = 33,722,627,546.23/208,151.49
  6. Step 6: Final answer
    x = 162,010.02

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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.