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Finding the Fourth Proportional to 252,661.78, 378,887.76 and 102,800.34

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Solution

The fourth proportional to 252,661.78, 378,887.76 and 102,800.34 is: 154,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,661.78 : 378,887.76 = 102,800.34 : x
  2. Step 2: Convert to fraction form
    252,661.78/378,887.76 = 102,800.34/x
  3. Step 3: Cross multiply
    252,661.78x = 378,887.76 × 102,800.34
  4. Step 4: Simplify right side
    252,661.78x = 38,949,790,549.84
  5. Step 5: Solve for x
    x = 38,949,790,549.84/252,661.78
  6. Step 6: Final answer
    x = 154,157.83

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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.