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Finding the Fourth Proportional to 139,791.13, 209,682.24 and 83,252.86

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Solution

The fourth proportional to 139,791.13, 209,682.24 and 83,252.86 is: 124,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,791.13 : 209,682.24 = 83,252.86 : x
  2. Step 2: Convert to fraction form
    139,791.13/209,682.24 = 83,252.86/x
  3. Step 3: Cross multiply
    139,791.13x = 209,682.24 × 83,252.86
  4. Step 4: Simplify right side
    139,791.13x = 17,456,646,171.21
  5. Step 5: Solve for x
    x = 17,456,646,171.21/139,791.13
  6. Step 6: Final answer
    x = 124,876.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.