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Finding the Fourth Proportional to 205,673.78, 283,827.84 and 115,028.66

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Solution

The fourth proportional to 205,673.78, 283,827.84 and 115,028.66 is: 158,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,673.78 : 283,827.84 = 115,028.66 : x
  2. Step 2: Convert to fraction form
    205,673.78/283,827.84 = 115,028.66/x
  3. Step 3: Cross multiply
    205,673.78x = 283,827.84 × 115,028.66
  4. Step 4: Simplify right side
    205,673.78x = 32,648,336,105.89
  5. Step 5: Solve for x
    x = 32,648,336,105.89/205,673.78
  6. Step 6: Final answer
    x = 158,738.45

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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.