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Finding the Fourth Proportional to 206,296.52, 284,782.46 and 129,927.84

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Solution

The fourth proportional to 206,296.52, 284,782.46 and 129,927.84 is: 179,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,296.52 : 284,782.46 = 129,927.84 : x
  2. Step 2: Convert to fraction form
    206,296.52/284,782.46 = 129,927.84/x
  3. Step 3: Cross multiply
    206,296.52x = 284,782.46 × 129,927.84
  4. Step 4: Simplify right side
    206,296.52x = 37,001,169,897.69
  5. Step 5: Solve for x
    x = 37,001,169,897.69/206,296.52
  6. Step 6: Final answer
    x = 179,359.16

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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.