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Finding the Fourth Proportional to 206,203.48, 309,410.52 and 98,254.78

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Solution

The fourth proportional to 206,203.48, 309,410.52 and 98,254.78 is: 147,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,203.48 : 309,410.52 = 98,254.78 : x
  2. Step 2: Convert to fraction form
    206,203.48/309,410.52 = 98,254.78/x
  3. Step 3: Cross multiply
    206,203.48x = 309,410.52 × 98,254.78
  4. Step 4: Simplify right side
    206,203.48x = 30,401,062,572.29
  5. Step 5: Solve for x
    x = 30,401,062,572.29/206,203.48
  6. Step 6: Final answer
    x = 147,432.34

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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.