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Finding the Fourth Proportional to 199,768.50, 299,696.49 and 75,109.50

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Solution

The fourth proportional to 199,768.50, 299,696.49 and 75,109.50 is: 112,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,768.50 : 299,696.49 = 75,109.50 : x
  2. Step 2: Convert to fraction form
    199,768.50/299,696.49 = 75,109.50/x
  3. Step 3: Cross multiply
    199,768.50x = 299,696.49 × 75,109.50
  4. Step 4: Simplify right side
    199,768.50x = 22,510,053,515.66
  5. Step 5: Solve for x
    x = 22,510,053,515.66/199,768.50
  6. Step 6: Final answer
    x = 112,680.70

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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.