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Finding the Fourth Proportional to 208,251.92, 287,377.80 and 123,355.28

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Solution

The fourth proportional to 208,251.92, 287,377.80 and 123,355.28 is: 170,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,251.92 : 287,377.80 = 123,355.28 : x
  2. Step 2: Convert to fraction form
    208,251.92/287,377.80 = 123,355.28/x
  3. Step 3: Cross multiply
    208,251.92x = 287,377.80 × 123,355.28
  4. Step 4: Simplify right side
    208,251.92x = 35,449,568,984.78
  5. Step 5: Solve for x
    x = 35,449,568,984.78/208,251.92
  6. Step 6: Final answer
    x = 170,224.45

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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.