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Finding the Fourth Proportional to 206,508.15, 309,855.15 and 111,627.25

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Solution

The fourth proportional to 206,508.15, 309,855.15 and 111,627.25 is: 167,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.15 : 309,855.15 = 111,627.25 : x
  2. Step 2: Convert to fraction form
    206,508.15/309,855.15 = 111,627.25/x
  3. Step 3: Cross multiply
    206,508.15x = 309,855.15 × 111,627.25
  4. Step 4: Simplify right side
    206,508.15x = 34,588,277,518.20
  5. Step 5: Solve for x
    x = 34,588,277,518.20/206,508.15
  6. Step 6: Final answer
    x = 167,491.10

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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.