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Finding the Fourth Proportional to 129,648, 194,472 and 31,152

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Solution

The fourth proportional to 129,648, 194,472 and 31,152 is: 46,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648 : 194,472 = 31,152 : x
  2. Step 2: Convert to fraction form
    129,648/194,472 = 31,152/x
  3. Step 3: Cross multiply
    129,648x = 194,472 × 31,152
  4. Step 4: Simplify right side
    129,648x = 6,058,191,744
  5. Step 5: Solve for x
    x = 6,058,191,744/129,648
  6. Step 6: Final answer
    x = 46,728

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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.