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Finding the Fourth Proportional to 139,972.76, 209,959.30 and 34,791.73

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Solution

The fourth proportional to 139,972.76, 209,959.30 and 34,791.73 is: 52,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,972.76 : 209,959.30 = 34,791.73 : x
  2. Step 2: Convert to fraction form
    139,972.76/209,959.30 = 34,791.73/x
  3. Step 3: Cross multiply
    139,972.76x = 209,959.30 × 34,791.73
  4. Step 4: Simplify right side
    139,972.76x = 7,304,846,664.71
  5. Step 5: Solve for x
    x = 7,304,846,664.71/139,972.76
  6. Step 6: Final answer
    x = 52,187.63

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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.