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Finding the Fourth Proportional to 154,616.72, 231,706.37 and 65,780.78

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Solution

The fourth proportional to 154,616.72, 231,706.37 and 65,780.78 is: 98,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,616.72 : 231,706.37 = 65,780.78 : x
  2. Step 2: Convert to fraction form
    154,616.72/231,706.37 = 65,780.78/x
  3. Step 3: Cross multiply
    154,616.72x = 231,706.37 × 65,780.78
  4. Step 4: Simplify right side
    154,616.72x = 15,241,824,755.49
  5. Step 5: Solve for x
    x = 15,241,824,755.49/154,616.72
  6. Step 6: Final answer
    x = 98,578.12

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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.