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Finding the Fourth Proportional to 20,449, 30,680.70 and 10,068.04

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Solution

The fourth proportional to 20,449, 30,680.70 and 10,068.04 is: 15,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449 : 30,680.70 = 10,068.04 : x
  2. Step 2: Convert to fraction form
    20,449/30,680.70 = 10,068.04/x
  3. Step 3: Cross multiply
    20,449x = 30,680.70 × 10,068.04
  4. Step 4: Simplify right side
    20,449x = 308,894,514.83
  5. Step 5: Solve for x
    x = 308,894,514.83/20,449
  6. Step 6: Final answer
    x = 15,105.60

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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.