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Finding the Fourth Proportional to 154,571.64, 231,890.51 and 47,953.28

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Solution

The fourth proportional to 154,571.64, 231,890.51 and 47,953.28 is: 71,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,571.64 : 231,890.51 = 47,953.28 : x
  2. Step 2: Convert to fraction form
    154,571.64/231,890.51 = 47,953.28/x
  3. Step 3: Cross multiply
    154,571.64x = 231,890.51 × 47,953.28
  4. Step 4: Simplify right side
    154,571.64x = 11,119,910,377.85
  5. Step 5: Solve for x
    x = 11,119,910,377.85/154,571.64
  6. Step 6: Final answer
    x = 71,940.17

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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.