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Finding the Fourth Proportional to 269,866, 372,421 and 149,006.96

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Solution

The fourth proportional to 269,866, 372,421 and 149,006.96 is: 205,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,866 : 372,421 = 149,006.96 : x
  2. Step 2: Convert to fraction form
    269,866/372,421 = 149,006.96/x
  3. Step 3: Cross multiply
    269,866x = 372,421 × 149,006.96
  4. Step 4: Simplify right side
    269,866x = 55,493,321,050.16
  5. Step 5: Solve for x
    x = 55,493,321,050.16/269,866
  6. Step 6: Final answer
    x = 205,632.87

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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.