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Finding the Fourth Proportional to 251,530.78, 347,105.24 and 138,353.54

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Solution

The fourth proportional to 251,530.78, 347,105.24 and 138,353.54 is: 190,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,530.78 : 347,105.24 = 138,353.54 : x
  2. Step 2: Convert to fraction form
    251,530.78/347,105.24 = 138,353.54/x
  3. Step 3: Cross multiply
    251,530.78x = 347,105.24 × 138,353.54
  4. Step 4: Simplify right side
    251,530.78x = 48,023,238,706.55
  5. Step 5: Solve for x
    x = 48,023,238,706.55/251,530.78
  6. Step 6: Final answer
    x = 190,923.90

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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.