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Finding the Fourth Proportional to 119,319, 178,979.58 and 36,213

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Solution

The fourth proportional to 119,319, 178,979.58 and 36,213 is: 54,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,319 : 178,979.58 = 36,213 : x
  2. Step 2: Convert to fraction form
    119,319/178,979.58 = 36,213/x
  3. Step 3: Cross multiply
    119,319x = 178,979.58 × 36,213
  4. Step 4: Simplify right side
    119,319x = 6,481,387,530.54
  5. Step 5: Solve for x
    x = 6,481,387,530.54/119,319
  6. Step 6: Final answer
    x = 54,319.83

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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.