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Finding the Fourth Proportional to 206,436.60, 309,363.30 and 127,315.80

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Solution

The fourth proportional to 206,436.60, 309,363.30 and 127,315.80 is: 190,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.60 : 309,363.30 = 127,315.80 : x
  2. Step 2: Convert to fraction form
    206,436.60/309,363.30 = 127,315.80/x
  3. Step 3: Cross multiply
    206,436.60x = 309,363.30 × 127,315.80
  4. Step 4: Simplify right side
    206,436.60x = 39,386,836,030.14
  5. Step 5: Solve for x
    x = 39,386,836,030.14/206,436.60
  6. Step 6: Final answer
    x = 190,793.86

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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.