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Finding the Fourth Proportional to 251,371.44, 346,894.94 and 138,195

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Solution

The fourth proportional to 251,371.44, 346,894.94 and 138,195 is: 190,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,371.44 : 346,894.94 = 138,195 : x
  2. Step 2: Convert to fraction form
    251,371.44/346,894.94 = 138,195/x
  3. Step 3: Cross multiply
    251,371.44x = 346,894.94 × 138,195
  4. Step 4: Simplify right side
    251,371.44x = 47,939,146,233.30
  5. Step 5: Solve for x
    x = 47,939,146,233.30/251,371.44
  6. Step 6: Final answer
    x = 190,710.39

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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.