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Finding the Fourth Proportional to 206,920.53, 309,768.44 and 127,780.29

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Solution

The fourth proportional to 206,920.53, 309,768.44 and 127,780.29 is: 191,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,920.53 : 309,768.44 = 127,780.29 : x
  2. Step 2: Convert to fraction form
    206,920.53/309,768.44 = 127,780.29/x
  3. Step 3: Cross multiply
    206,920.53x = 309,768.44 × 127,780.29
  4. Step 4: Simplify right side
    206,920.53x = 39,582,300,457.15
  5. Step 5: Solve for x
    x = 39,582,300,457.15/206,920.53
  6. Step 6: Final answer
    x = 191,292.28

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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.