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Finding the Fourth Proportional to 205,912.61, 284,162.42 and 118,649.61

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Solution

The fourth proportional to 205,912.61, 284,162.42 and 118,649.61 is: 163,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,912.61 : 284,162.42 = 118,649.61 : x
  2. Step 2: Convert to fraction form
    205,912.61/284,162.42 = 118,649.61/x
  3. Step 3: Cross multiply
    205,912.61x = 284,162.42 × 118,649.61
  4. Step 4: Simplify right side
    205,912.61x = 33,715,760,309.66
  5. Step 5: Solve for x
    x = 33,715,760,309.66/205,912.61
  6. Step 6: Final answer
    x = 163,738.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.