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Finding the Fourth Proportional to 206,103.66, 309,244.44 and 111,315

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Solution

The fourth proportional to 206,103.66, 309,244.44 and 111,315 is: 167,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,103.66 : 309,244.44 = 111,315 : x
  2. Step 2: Convert to fraction form
    206,103.66/309,244.44 = 111,315/x
  3. Step 3: Cross multiply
    206,103.66x = 309,244.44 × 111,315
  4. Step 4: Simplify right side
    206,103.66x = 34,423,544,838.60
  5. Step 5: Solve for x
    x = 34,423,544,838.60/206,103.66
  6. Step 6: Final answer
    x = 167,020.54

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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.