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Finding the Fourth Proportional to 205,234.05, 308,045.48 and 126,502.05

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Solution

The fourth proportional to 205,234.05, 308,045.48 and 126,502.05 is: 189,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.05 : 308,045.48 = 126,502.05 : x
  2. Step 2: Convert to fraction form
    205,234.05/308,045.48 = 126,502.05/x
  3. Step 3: Cross multiply
    205,234.05x = 308,045.48 × 126,502.05
  4. Step 4: Simplify right side
    205,234.05x = 38,968,384,080.72
  5. Step 5: Solve for x
    x = 38,968,384,080.72/205,234.05
  6. Step 6: Final answer
    x = 189,872.90

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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.