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Finding the Fourth Proportional to 205,802.37, 283,987.89 and 128,270.79

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Solution

The fourth proportional to 205,802.37, 283,987.89 and 128,270.79 is: 177,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,802.37 : 283,987.89 = 128,270.79 : x
  2. Step 2: Convert to fraction form
    205,802.37/283,987.89 = 128,270.79/x
  3. Step 3: Cross multiply
    205,802.37x = 283,987.89 × 128,270.79
  4. Step 4: Simplify right side
    205,802.37x = 36,427,351,000.73
  5. Step 5: Solve for x
    x = 36,427,351,000.73/205,802.37
  6. Step 6: Final answer
    x = 177,001.61

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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.