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Finding the Fourth Proportional to 199,902.69, 275,872.10 and 109,256.67

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Solution

The fourth proportional to 199,902.69, 275,872.10 and 109,256.67 is: 150,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902.69 : 275,872.10 = 109,256.67 : x
  2. Step 2: Convert to fraction form
    199,902.69/275,872.10 = 109,256.67/x
  3. Step 3: Cross multiply
    199,902.69x = 275,872.10 × 109,256.67
  4. Step 4: Simplify right side
    199,902.69x = 30,140,866,991.91
  5. Step 5: Solve for x
    x = 30,140,866,991.91/199,902.69
  6. Step 6: Final answer
    x = 150,777.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.