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Finding the Fourth Proportional to 206,073.60, 309,124.80 and 81,398.40

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Solution

The fourth proportional to 206,073.60, 309,124.80 and 81,398.40 is: 122,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,073.60 : 309,124.80 = 81,398.40 : x
  2. Step 2: Convert to fraction form
    206,073.60/309,124.80 = 81,398.40/x
  3. Step 3: Cross multiply
    206,073.60x = 309,124.80 × 81,398.40
  4. Step 4: Simplify right side
    206,073.60x = 25,162,264,120.32
  5. Step 5: Solve for x
    x = 25,162,264,120.32/206,073.60
  6. Step 6: Final answer
    x = 122,103.29

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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.