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Finding the Fourth Proportional to 149,098.05, 205,879.47 and 138,279.92

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Solution

The fourth proportional to 149,098.05, 205,879.47 and 138,279.92 is: 190,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,098.05 : 205,879.47 = 138,279.92 : x
  2. Step 2: Convert to fraction form
    149,098.05/205,879.47 = 138,279.92/x
  3. Step 3: Cross multiply
    149,098.05x = 205,879.47 × 138,279.92
  4. Step 4: Simplify right side
    149,098.05x = 28,468,995,093.30
  5. Step 5: Solve for x
    x = 28,468,995,093.30/149,098.05
  6. Step 6: Final answer
    x = 190,941.44

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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.