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Finding the Fourth Proportional to 206,005.66, 309,147 and 72,885.40

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Solution

The fourth proportional to 206,005.66, 309,147 and 72,885.40 is: 109,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,005.66 : 309,147 = 72,885.40 : x
  2. Step 2: Convert to fraction form
    206,005.66/309,147 = 72,885.40/x
  3. Step 3: Cross multiply
    206,005.66x = 309,147 × 72,885.40
  4. Step 4: Simplify right side
    206,005.66x = 22,532,302,753.80
  5. Step 5: Solve for x
    x = 22,532,302,753.80/206,005.66
  6. Step 6: Final answer
    x = 109,377.11

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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.