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Finding the Fourth Proportional to 129,601, 194,401.50 and 31,105

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Solution

The fourth proportional to 129,601, 194,401.50 and 31,105 is: 46,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,601 : 194,401.50 = 31,105 : x
  2. Step 2: Convert to fraction form
    129,601/194,401.50 = 31,105/x
  3. Step 3: Cross multiply
    129,601x = 194,401.50 × 31,105
  4. Step 4: Simplify right side
    129,601x = 6,046,858,657.50
  5. Step 5: Solve for x
    x = 6,046,858,657.50/129,601
  6. Step 6: Final answer
    x = 46,657.50

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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.