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Finding the Fourth Proportional to 90,589.72, 135,872.32 and 34,444

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Solution

The fourth proportional to 90,589.72, 135,872.32 and 34,444 is: 51,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,589.72 : 135,872.32 = 34,444 : x
  2. Step 2: Convert to fraction form
    90,589.72/135,872.32 = 34,444/x
  3. Step 3: Cross multiply
    90,589.72x = 135,872.32 × 34,444
  4. Step 4: Simplify right side
    90,589.72x = 4,679,986,190.08
  5. Step 5: Solve for x
    x = 4,679,986,190.08/90,589.72
  6. Step 6: Final answer
    x = 51,661.34

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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.