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Finding the Fourth Proportional to 251,691.36, 347,255.87 and 142,777.77

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Solution

The fourth proportional to 251,691.36, 347,255.87 and 142,777.77 is: 196,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,691.36 : 347,255.87 = 142,777.77 : x
  2. Step 2: Convert to fraction form
    251,691.36/347,255.87 = 142,777.77/x
  3. Step 3: Cross multiply
    251,691.36x = 347,255.87 × 142,777.77
  4. Step 4: Simplify right side
    251,691.36x = 49,580,418,024.12
  5. Step 5: Solve for x
    x = 49,580,418,024.12/251,691.36
  6. Step 6: Final answer
    x = 196,988.96

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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.