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Finding the Fourth Proportional to 199,773.49, 299,671.76 and 75,115.57

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Solution

The fourth proportional to 199,773.49, 299,671.76 and 75,115.57 is: 112,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,773.49 : 299,671.76 = 75,115.57 : x
  2. Step 2: Convert to fraction form
    199,773.49/299,671.76 = 75,115.57/x
  3. Step 3: Cross multiply
    199,773.49x = 299,671.76 × 75,115.57
  4. Step 4: Simplify right side
    199,773.49x = 22,510,015,065.30
  5. Step 5: Solve for x
    x = 22,510,015,065.30/199,773.49
  6. Step 6: Final answer
    x = 112,677.69

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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.