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Finding the Fourth Proportional to 203,732.69, 281,118.25 and 117,678

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Solution

The fourth proportional to 203,732.69, 281,118.25 and 117,678 is: 162,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,732.69 : 281,118.25 = 117,678 : x
  2. Step 2: Convert to fraction form
    203,732.69/281,118.25 = 117,678/x
  3. Step 3: Cross multiply
    203,732.69x = 281,118.25 × 117,678
  4. Step 4: Simplify right side
    203,732.69x = 33,081,433,423.50
  5. Step 5: Solve for x
    x = 33,081,433,423.50/203,732.69
  6. Step 6: Final answer
    x = 162,376.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.