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Finding the Fourth Proportional to 206,841.60, 309,970.80 and 127,720.80

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Solution

The fourth proportional to 206,841.60, 309,970.80 and 127,720.80 is: 191,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,841.60 : 309,970.80 = 127,720.80 : x
  2. Step 2: Convert to fraction form
    206,841.60/309,970.80 = 127,720.80/x
  3. Step 3: Cross multiply
    206,841.60x = 309,970.80 × 127,720.80
  4. Step 4: Simplify right side
    206,841.60x = 39,589,718,552.64
  5. Step 5: Solve for x
    x = 39,589,718,552.64/206,841.60
  6. Step 6: Final answer
    x = 191,401.14

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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.