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Finding the Fourth Proportional to 200,911.02, 301,154.10 and 72,741.84

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Solution

The fourth proportional to 200,911.02, 301,154.10 and 72,741.84 is: 109,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911.02 : 301,154.10 = 72,741.84 : x
  2. Step 2: Convert to fraction form
    200,911.02/301,154.10 = 72,741.84/x
  3. Step 3: Cross multiply
    200,911.02x = 301,154.10 × 72,741.84
  4. Step 4: Simplify right side
    200,911.02x = 21,906,503,357.54
  5. Step 5: Solve for x
    x = 21,906,503,357.54/200,911.02
  6. Step 6: Final answer
    x = 109,035.85

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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.