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Finding the Fourth Proportional to 177,853.50, 266,872.26 and 78,083.76

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Solution

The fourth proportional to 177,853.50, 266,872.26 and 78,083.76 is: 117,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,853.50 : 266,872.26 = 78,083.76 : x
  2. Step 2: Convert to fraction form
    177,853.50/266,872.26 = 78,083.76/x
  3. Step 3: Cross multiply
    177,853.50x = 266,872.26 × 78,083.76
  4. Step 4: Simplify right side
    177,853.50x = 20,838,389,500.50
  5. Step 5: Solve for x
    x = 20,838,389,500.50/177,853.50
  6. Step 6: Final answer
    x = 117,166.04

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