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Finding the Fourth Proportional to 200,710.32, 301,081.91 and 100,819.14

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Solution

The fourth proportional to 200,710.32, 301,081.91 and 100,819.14 is: 151,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,710.32 : 301,081.91 = 100,819.14 : x
  2. Step 2: Convert to fraction form
    200,710.32/301,081.91 = 100,819.14/x
  3. Step 3: Cross multiply
    200,710.32x = 301,081.91 × 100,819.14
  4. Step 4: Simplify right side
    200,710.32x = 30,354,818,731.66
  5. Step 5: Solve for x
    x = 30,354,818,731.66/200,710.32
  6. Step 6: Final answer
    x = 151,236.96

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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.