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Finding the Fourth Proportional to 154,008, 231,012 and 55,512

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Solution

The fourth proportional to 154,008, 231,012 and 55,512 is: 83,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,008 : 231,012 = 55,512 : x
  2. Step 2: Convert to fraction form
    154,008/231,012 = 55,512/x
  3. Step 3: Cross multiply
    154,008x = 231,012 × 55,512
  4. Step 4: Simplify right side
    154,008x = 12,823,938,144
  5. Step 5: Solve for x
    x = 12,823,938,144/154,008
  6. Step 6: Final answer
    x = 83,268

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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.