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Finding the Fourth Proportional to 206,342.24, 309,600.83 and 112,738.64

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Solution

The fourth proportional to 206,342.24, 309,600.83 and 112,738.64 is: 169,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,342.24 : 309,600.83 = 112,738.64 : x
  2. Step 2: Convert to fraction form
    206,342.24/309,600.83 = 112,738.64/x
  3. Step 3: Cross multiply
    206,342.24x = 309,600.83 × 112,738.64
  4. Step 4: Simplify right side
    206,342.24x = 34,903,975,250.91
  5. Step 5: Solve for x
    x = 34,903,975,250.91/206,342.24
  6. Step 6: Final answer
    x = 169,155.75

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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.