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Finding the Fourth Proportional to 109,212.70, 163,819.05 and 35,340.70

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Solution

The fourth proportional to 109,212.70, 163,819.05 and 35,340.70 is: 53,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212.70 : 163,819.05 = 35,340.70 : x
  2. Step 2: Convert to fraction form
    109,212.70/163,819.05 = 35,340.70/x
  3. Step 3: Cross multiply
    109,212.70x = 163,819.05 × 35,340.70
  4. Step 4: Simplify right side
    109,212.70x = 5,789,479,900.34
  5. Step 5: Solve for x
    x = 5,789,479,900.34/109,212.70
  6. Step 6: Final answer
    x = 53,011.05

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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.