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Finding the Fourth Proportional to 178,908.97, 268,363.23 and 45,789.30

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Solution

The fourth proportional to 178,908.97, 268,363.23 and 45,789.30 is: 68,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,908.97 : 268,363.23 = 45,789.30 : x
  2. Step 2: Convert to fraction form
    178,908.97/268,363.23 = 45,789.30/x
  3. Step 3: Cross multiply
    178,908.97x = 268,363.23 × 45,789.30
  4. Step 4: Simplify right side
    178,908.97x = 12,288,164,447.44
  5. Step 5: Solve for x
    x = 12,288,164,447.44/178,908.97
  6. Step 6: Final answer
    x = 68,683.89

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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.