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Finding the Fourth Proportional to 129,750, 194,625 and 31,254

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Solution

The fourth proportional to 129,750, 194,625 and 31,254 is: 46,881

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,750 : 194,625 = 31,254 : x
  2. Step 2: Convert to fraction form
    129,750/194,625 = 31,254/x
  3. Step 3: Cross multiply
    129,750x = 194,625 × 31,254
  4. Step 4: Simplify right side
    129,750x = 6,082,809,750
  5. Step 5: Solve for x
    x = 6,082,809,750/129,750
  6. Step 6: Final answer
    x = 46,881

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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.