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Finding the Fourth Proportional to 251,427.30, 346,968.54 and 138,249.78

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Solution

The fourth proportional to 251,427.30, 346,968.54 and 138,249.78 is: 190,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,427.30 : 346,968.54 = 138,249.78 : x
  2. Step 2: Convert to fraction form
    251,427.30/346,968.54 = 138,249.78/x
  3. Step 3: Cross multiply
    251,427.30x = 346,968.54 × 138,249.78
  4. Step 4: Simplify right side
    251,427.30x = 47,968,324,321.92
  5. Step 5: Solve for x
    x = 47,968,324,321.92/251,427.30
  6. Step 6: Final answer
    x = 190,784.07

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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.