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Finding the Fourth Proportional to 154,648, 231,972 and 37,912

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Solution

The fourth proportional to 154,648, 231,972 and 37,912 is: 56,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,648 : 231,972 = 37,912 : x
  2. Step 2: Convert to fraction form
    154,648/231,972 = 37,912/x
  3. Step 3: Cross multiply
    154,648x = 231,972 × 37,912
  4. Step 4: Simplify right side
    154,648x = 8,794,522,464
  5. Step 5: Solve for x
    x = 8,794,522,464/154,648
  6. Step 6: Final answer
    x = 56,868

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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.