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Finding the Fourth Proportional to 185,294.28, 277,934.88 and 78,609.72

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Solution

The fourth proportional to 185,294.28, 277,934.88 and 78,609.72 is: 117,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,294.28 : 277,934.88 = 78,609.72 : x
  2. Step 2: Convert to fraction form
    185,294.28/277,934.88 = 78,609.72/x
  3. Step 3: Cross multiply
    185,294.28x = 277,934.88 × 78,609.72
  4. Step 4: Simplify right side
    185,294.28x = 21,848,383,095.03
  5. Step 5: Solve for x
    x = 21,848,383,095.03/185,294.28
  6. Step 6: Final answer
    x = 117,911.81

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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.