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Finding the Fourth Proportional to 128,223, 192,310.74 and 34,716.60

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Solution

The fourth proportional to 128,223, 192,310.74 and 34,716.60 is: 52,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,223 : 192,310.74 = 34,716.60 : x
  2. Step 2: Convert to fraction form
    128,223/192,310.74 = 34,716.60/x
  3. Step 3: Cross multiply
    128,223x = 192,310.74 × 34,716.60
  4. Step 4: Simplify right side
    128,223x = 6,676,375,036.28
  5. Step 5: Solve for x
    x = 6,676,375,036.28/128,223
  6. Step 6: Final answer
    x = 52,068.47

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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.