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Finding the Fourth Proportional to 154,744.52, 231,805.74 and 80,717

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Solution

The fourth proportional to 154,744.52, 231,805.74 and 80,717 is: 120,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,744.52 : 231,805.74 = 80,717 : x
  2. Step 2: Convert to fraction form
    154,744.52/231,805.74 = 80,717/x
  3. Step 3: Cross multiply
    154,744.52x = 231,805.74 × 80,717
  4. Step 4: Simplify right side
    154,744.52x = 18,710,663,915.58
  5. Step 5: Solve for x
    x = 18,710,663,915.58/154,744.52
  6. Step 6: Final answer
    x = 120,913.26

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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.