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Finding the Fourth Proportional to 251,137.92, 346,570.56 and 137,968

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Solution

The fourth proportional to 251,137.92, 346,570.56 and 137,968 is: 190,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,137.92 : 346,570.56 = 137,968 : x
  2. Step 2: Convert to fraction form
    251,137.92/346,570.56 = 137,968/x
  3. Step 3: Cross multiply
    251,137.92x = 346,570.56 × 137,968
  4. Step 4: Simplify right side
    251,137.92x = 47,815,647,022.08
  5. Step 5: Solve for x
    x = 47,815,647,022.08/251,137.92
  6. Step 6: Final answer
    x = 190,395.97

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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.