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Finding the Fourth Proportional to 251,067.86, 346,490.61 and 137,891.78

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Solution

The fourth proportional to 251,067.86, 346,490.61 and 137,891.78 is: 190,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,067.86 : 346,490.61 = 137,891.78 : x
  2. Step 2: Convert to fraction form
    251,067.86/346,490.61 = 137,891.78/x
  3. Step 3: Cross multiply
    251,067.86x = 346,490.61 × 137,891.78
  4. Step 4: Simplify right side
    251,067.86x = 47,778,206,966.19
  5. Step 5: Solve for x
    x = 47,778,206,966.19/251,067.86
  6. Step 6: Final answer
    x = 190,299.97

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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.