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Finding the Fourth Proportional to 251,706.89, 347,277.29 and 142,793.27

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Solution

The fourth proportional to 251,706.89, 347,277.29 and 142,793.27 is: 197,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,706.89 : 347,277.29 = 142,793.27 : x
  2. Step 2: Convert to fraction form
    251,706.89/347,277.29 = 142,793.27/x
  3. Step 3: Cross multiply
    251,706.89x = 347,277.29 × 142,793.27
  4. Step 4: Simplify right side
    251,706.89x = 49,588,859,121.87
  5. Step 5: Solve for x
    x = 49,588,859,121.87/251,706.89
  6. Step 6: Final answer
    x = 197,010.34

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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.