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Finding the Fourth Proportional to 208,767, 288,103.50 and 123,884.76

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Solution

The fourth proportional to 208,767, 288,103.50 and 123,884.76 is: 170,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,767 : 288,103.50 = 123,884.76 : x
  2. Step 2: Convert to fraction form
    208,767/288,103.50 = 123,884.76/x
  3. Step 3: Cross multiply
    208,767x = 288,103.50 × 123,884.76
  4. Step 4: Simplify right side
    208,767x = 35,691,632,952.66
  5. Step 5: Solve for x
    x = 35,691,632,952.66/208,767
  6. Step 6: Final answer
    x = 170,963.96

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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.