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Finding the Fourth Proportional to 154,626.56, 231,846.72 and 84,408.32

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Solution

The fourth proportional to 154,626.56, 231,846.72 and 84,408.32 is: 126,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,626.56 : 231,846.72 = 84,408.32 : x
  2. Step 2: Convert to fraction form
    154,626.56/231,846.72 = 84,408.32/x
  3. Step 3: Cross multiply
    154,626.56x = 231,846.72 × 84,408.32
  4. Step 4: Simplify right side
    154,626.56x = 19,569,792,132.71
  5. Step 5: Solve for x
    x = 19,569,792,132.71/154,626.56
  6. Step 6: Final answer
    x = 126,561.65

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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.