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Finding the Fourth Proportional to 119,169.78, 178,754.51 and 30,423.28

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Solution

The fourth proportional to 119,169.78, 178,754.51 and 30,423.28 is: 45,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169.78 : 178,754.51 = 30,423.28 : x
  2. Step 2: Convert to fraction form
    119,169.78/178,754.51 = 30,423.28/x
  3. Step 3: Cross multiply
    119,169.78x = 178,754.51 × 30,423.28
  4. Step 4: Simplify right side
    119,169.78x = 5,438,298,508.99
  5. Step 5: Solve for x
    x = 5,438,298,508.99/119,169.78
  6. Step 6: Final answer
    x = 45,634.88

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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.