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Finding the Fourth Proportional to 228,423.73, 342,658.56 and 78,644.20

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Solution

The fourth proportional to 228,423.73, 342,658.56 and 78,644.20 is: 117,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,423.73 : 342,658.56 = 78,644.20 : x
  2. Step 2: Convert to fraction form
    228,423.73/342,658.56 = 78,644.20/x
  3. Step 3: Cross multiply
    228,423.73x = 342,658.56 × 78,644.20
  4. Step 4: Simplify right side
    228,423.73x = 26,948,108,324.35
  5. Step 5: Solve for x
    x = 26,948,108,324.35/228,423.73
  6. Step 6: Final answer
    x = 117,974.21

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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.