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Finding the Fourth Proportional to 178,908.75, 268,165.89 and 115,578.90

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Solution

The fourth proportional to 178,908.75, 268,165.89 and 115,578.90 is: 173,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,908.75 : 268,165.89 = 115,578.90 : x
  2. Step 2: Convert to fraction form
    178,908.75/268,165.89 = 115,578.90/x
  3. Step 3: Cross multiply
    178,908.75x = 268,165.89 × 115,578.90
  4. Step 4: Simplify right side
    178,908.75x = 30,994,318,583.72
  5. Step 5: Solve for x
    x = 30,994,318,583.72/178,908.75
  6. Step 6: Final answer
    x = 173,240.93

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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.