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Finding the Fourth Proportional to 206,121.90, 309,150.45 and 72,983.10

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Solution

The fourth proportional to 206,121.90, 309,150.45 and 72,983.10 is: 109,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,121.90 : 309,150.45 = 72,983.10 : x
  2. Step 2: Convert to fraction form
    206,121.90/309,150.45 = 72,983.10/x
  3. Step 3: Cross multiply
    206,121.90x = 309,150.45 × 72,983.10
  4. Step 4: Simplify right side
    206,121.90x = 22,562,758,207.40
  5. Step 5: Solve for x
    x = 22,562,758,207.40/206,121.90
  6. Step 6: Final answer
    x = 109,463.18

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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.