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Finding the Fourth Proportional to 252,408.52, 378,757.50 and 102,621.16

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Solution

The fourth proportional to 252,408.52, 378,757.50 and 102,621.16 is: 153,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,408.52 : 378,757.50 = 102,621.16 : x
  2. Step 2: Convert to fraction form
    252,408.52/378,757.50 = 102,621.16/x
  3. Step 3: Cross multiply
    252,408.52x = 378,757.50 × 102,621.16
  4. Step 4: Simplify right side
    252,408.52x = 38,868,534,008.70
  5. Step 5: Solve for x
    x = 38,868,534,008.70/252,408.52
  6. Step 6: Final answer
    x = 153,990.58

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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.