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Finding the Fourth Proportional to 205,188.91, 308,123.76 and 126,801.37

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Solution

The fourth proportional to 205,188.91, 308,123.76 and 126,801.37 is: 190,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,188.91 : 308,123.76 = 126,801.37 : x
  2. Step 2: Convert to fraction form
    205,188.91/308,123.76 = 126,801.37/x
  3. Step 3: Cross multiply
    205,188.91x = 308,123.76 × 126,801.37
  4. Step 4: Simplify right side
    205,188.91x = 39,070,514,897.55
  5. Step 5: Solve for x
    x = 39,070,514,897.55/205,188.91
  6. Step 6: Final answer
    x = 190,412.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.