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Finding the Fourth Proportional to 205,881.67, 284,101.21 and 125,300.29

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Solution

The fourth proportional to 205,881.67, 284,101.21 and 125,300.29 is: 172,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,881.67 : 284,101.21 = 125,300.29 : x
  2. Step 2: Convert to fraction form
    205,881.67/284,101.21 = 125,300.29/x
  3. Step 3: Cross multiply
    205,881.67x = 284,101.21 × 125,300.29
  4. Step 4: Simplify right side
    205,881.67x = 35,597,964,604.24
  5. Step 5: Solve for x
    x = 35,597,964,604.24/205,881.67
  6. Step 6: Final answer
    x = 172,904.97

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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.