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Finding the Fourth Proportional to 200,101.62, 299,819.18 and 140,812.76

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Solution

The fourth proportional to 200,101.62, 299,819.18 and 140,812.76 is: 210,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,101.62 : 299,819.18 = 140,812.76 : x
  2. Step 2: Convert to fraction form
    200,101.62/299,819.18 = 140,812.76/x
  3. Step 3: Cross multiply
    200,101.62x = 299,819.18 × 140,812.76
  4. Step 4: Simplify right side
    200,101.62x = 42,218,366,236.74
  5. Step 5: Solve for x
    x = 42,218,366,236.74/200,101.62
  6. Step 6: Final answer
    x = 210,984.63

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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.