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Finding the Fourth Proportional to 129,946.40, 194,689.20 and 80,640.80

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Solution

The fourth proportional to 129,946.40, 194,689.20 and 80,640.80 is: 120,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,946.40 : 194,689.20 = 80,640.80 : x
  2. Step 2: Convert to fraction form
    129,946.40/194,689.20 = 80,640.80/x
  3. Step 3: Cross multiply
    129,946.40x = 194,689.20 × 80,640.80
  4. Step 4: Simplify right side
    129,946.40x = 15,699,892,839.36
  5. Step 5: Solve for x
    x = 15,699,892,839.36/129,946.40
  6. Step 6: Final answer
    x = 120,818.22

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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.