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Finding the Fourth Proportional to 129,960, 194,940.96 and 31,464

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Solution

The fourth proportional to 129,960, 194,940.96 and 31,464 is: 47,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,960 : 194,940.96 = 31,464 : x
  2. Step 2: Convert to fraction form
    129,960/194,940.96 = 31,464/x
  3. Step 3: Cross multiply
    129,960x = 194,940.96 × 31,464
  4. Step 4: Simplify right side
    129,960x = 6,133,622,365.44
  5. Step 5: Solve for x
    x = 6,133,622,365.44/129,960
  6. Step 6: Final answer
    x = 47,196.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.