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Finding the Fourth Proportional to 200,719.42, 301,079.66 and 67,693.12

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Solution

The fourth proportional to 200,719.42, 301,079.66 and 67,693.12 is: 101,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,719.42 : 301,079.66 = 67,693.12 : x
  2. Step 2: Convert to fraction form
    200,719.42/301,079.66 = 67,693.12/x
  3. Step 3: Cross multiply
    200,719.42x = 301,079.66 × 67,693.12
  4. Step 4: Simplify right side
    200,719.42x = 20,381,021,591.82
  5. Step 5: Solve for x
    x = 20,381,021,591.82/200,719.42
  6. Step 6: Final answer
    x = 101,539.86

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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.