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Finding the Fourth Proportional to 154,571.70, 231,814.73 and 54,718.77

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Solution

The fourth proportional to 154,571.70, 231,814.73 and 54,718.77 is: 82,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,571.70 : 231,814.73 = 54,718.77 : x
  2. Step 2: Convert to fraction form
    154,571.70/231,814.73 = 54,718.77/x
  3. Step 3: Cross multiply
    154,571.70x = 231,814.73 × 54,718.77
  4. Step 4: Simplify right side
    154,571.70x = 12,684,616,619.89
  5. Step 5: Solve for x
    x = 12,684,616,619.89/154,571.70
  6. Step 6: Final answer
    x = 82,062.99

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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.