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Finding the Fourth Proportional to 154,568.70, 231,853.05 and 75,836.70

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Solution

The fourth proportional to 154,568.70, 231,853.05 and 75,836.70 is: 113,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,568.70 : 231,853.05 = 75,836.70 : x
  2. Step 2: Convert to fraction form
    154,568.70/231,853.05 = 75,836.70/x
  3. Step 3: Cross multiply
    154,568.70x = 231,853.05 × 75,836.70
  4. Step 4: Simplify right side
    154,568.70x = 17,582,970,196.94
  5. Step 5: Solve for x
    x = 17,582,970,196.94/154,568.70
  6. Step 6: Final answer
    x = 113,755.05

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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.