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Finding the Fourth Proportional to 177,761.04, 266,641.74 and 71,193

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Solution

The fourth proportional to 177,761.04, 266,641.74 and 71,193 is: 106,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,761.04 : 266,641.74 = 71,193 : x
  2. Step 2: Convert to fraction form
    177,761.04/266,641.74 = 71,193/x
  3. Step 3: Cross multiply
    177,761.04x = 266,641.74 × 71,193
  4. Step 4: Simplify right side
    177,761.04x = 18,983,025,395.82
  5. Step 5: Solve for x
    x = 18,983,025,395.82/177,761.04
  6. Step 6: Final answer
    x = 106,789.57

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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.