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Finding the Fourth Proportional to 154,992, 232,488 and 38,256

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Solution

The fourth proportional to 154,992, 232,488 and 38,256 is: 57,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,992 : 232,488 = 38,256 : x
  2. Step 2: Convert to fraction form
    154,992/232,488 = 38,256/x
  3. Step 3: Cross multiply
    154,992x = 232,488 × 38,256
  4. Step 4: Simplify right side
    154,992x = 8,894,060,928
  5. Step 5: Solve for x
    x = 8,894,060,928/154,992
  6. Step 6: Final answer
    x = 57,384

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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.