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Finding the Fourth Proportional to 102,936.52, 154,452.78 and 36,427

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Solution

The fourth proportional to 102,936.52, 154,452.78 and 36,427 is: 54,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936.52 : 154,452.78 = 36,427 : x
  2. Step 2: Convert to fraction form
    102,936.52/154,452.78 = 36,427/x
  3. Step 3: Cross multiply
    102,936.52x = 154,452.78 × 36,427
  4. Step 4: Simplify right side
    102,936.52x = 5,626,251,417.06
  5. Step 5: Solve for x
    x = 5,626,251,417.06/102,936.52
  6. Step 6: Final answer
    x = 54,657.49

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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.