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Finding the Fourth Proportional to 228,456.34, 342,721.23 and 78,659.80

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Solution

The fourth proportional to 228,456.34, 342,721.23 and 78,659.80 is: 118,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,456.34 : 342,721.23 = 78,659.80 : x
  2. Step 2: Convert to fraction form
    228,456.34/342,721.23 = 78,659.80/x
  3. Step 3: Cross multiply
    228,456.34x = 342,721.23 × 78,659.80
  4. Step 4: Simplify right side
    228,456.34x = 26,958,383,407.55
  5. Step 5: Solve for x
    x = 26,958,383,407.55/228,456.34
  6. Step 6: Final answer
    x = 118,002.34

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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.