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Finding the Fourth Proportional to 148,617.87, 205,086.17 and 84,959.78

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Solution

The fourth proportional to 148,617.87, 205,086.17 and 84,959.78 is: 117,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,617.87 : 205,086.17 = 84,959.78 : x
  2. Step 2: Convert to fraction form
    148,617.87/205,086.17 = 84,959.78/x
  3. Step 3: Cross multiply
    148,617.87x = 205,086.17 × 84,959.78
  4. Step 4: Simplify right side
    148,617.87x = 17,424,074,434.01
  5. Step 5: Solve for x
    x = 17,424,074,434.01/148,617.87
  6. Step 6: Final answer
    x = 117,240.78

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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.