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Finding the Fourth Proportional to 119,286, 178,930.08 and 36,180

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Solution

The fourth proportional to 119,286, 178,930.08 and 36,180 is: 54,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,286 : 178,930.08 = 36,180 : x
  2. Step 2: Convert to fraction form
    119,286/178,930.08 = 36,180/x
  3. Step 3: Cross multiply
    119,286x = 178,930.08 × 36,180
  4. Step 4: Simplify right side
    119,286x = 6,473,690,294.40
  5. Step 5: Solve for x
    x = 6,473,690,294.40/119,286
  6. Step 6: Final answer
    x = 54,270.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.