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Finding the Fourth Proportional to 133,582.39, 200,311.29 and 77,438.57

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Solution

The fourth proportional to 133,582.39, 200,311.29 and 77,438.57 is: 116,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,582.39 : 200,311.29 = 77,438.57 : x
  2. Step 2: Convert to fraction form
    133,582.39/200,311.29 = 77,438.57/x
  3. Step 3: Cross multiply
    133,582.39x = 200,311.29 × 77,438.57
  4. Step 4: Simplify right side
    133,582.39x = 15,511,818,850.90
  5. Step 5: Solve for x
    x = 15,511,818,850.90/133,582.39
  6. Step 6: Final answer
    x = 116,121.74

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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.