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Finding the Fourth Proportional to 129,916, 194,874.18 and 31,420

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Solution

The fourth proportional to 129,916, 194,874.18 and 31,420 is: 47,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,916 : 194,874.18 = 31,420 : x
  2. Step 2: Convert to fraction form
    129,916/194,874.18 = 31,420/x
  3. Step 3: Cross multiply
    129,916x = 194,874.18 × 31,420
  4. Step 4: Simplify right side
    129,916x = 6,122,946,735.60
  5. Step 5: Solve for x
    x = 6,122,946,735.60/129,916
  6. Step 6: Final answer
    x = 47,130.04

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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.