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Finding the Fourth Proportional to 252,455.33, 378,640.81 and 83,993.46

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Solution

The fourth proportional to 252,455.33, 378,640.81 and 83,993.46 is: 125,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,455.33 : 378,640.81 = 83,993.46 : x
  2. Step 2: Convert to fraction form
    252,455.33/378,640.81 = 83,993.46/x
  3. Step 3: Cross multiply
    252,455.33x = 378,640.81 × 83,993.46
  4. Step 4: Simplify right side
    252,455.33x = 31,803,350,414.19
  5. Step 5: Solve for x
    x = 31,803,350,414.19/252,455.33
  6. Step 6: Final answer
    x = 125,976.15

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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.