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Finding the Fourth Proportional to 206,265.96, 309,428.58 and 78,229.32

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Solution

The fourth proportional to 206,265.96, 309,428.58 and 78,229.32 is: 117,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,265.96 : 309,428.58 = 78,229.32 : x
  2. Step 2: Convert to fraction form
    206,265.96/309,428.58 = 78,229.32/x
  3. Step 3: Cross multiply
    206,265.96x = 309,428.58 × 78,229.32
  4. Step 4: Simplify right side
    206,265.96x = 24,206,387,401.97
  5. Step 5: Solve for x
    x = 24,206,387,401.97/206,265.96
  6. Step 6: Final answer
    x = 117,355.22

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1.5x scale

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.