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Finding the Fourth Proportional to 206,138.72, 309,324.80 and 87,797.76

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Solution

The fourth proportional to 206,138.72, 309,324.80 and 87,797.76 is: 131,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,138.72 : 309,324.80 = 87,797.76 : x
  2. Step 2: Convert to fraction form
    206,138.72/309,324.80 = 87,797.76/x
  3. Step 3: Cross multiply
    206,138.72x = 309,324.80 × 87,797.76
  4. Step 4: Simplify right side
    206,138.72x = 27,158,024,552.45
  5. Step 5: Solve for x
    x = 27,158,024,552.45/206,138.72
  6. Step 6: Final answer
    x = 131,746.35

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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.