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Finding the Fourth Proportional to 101,305.44, 139,794.52 and 55,983

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Solution

The fourth proportional to 101,305.44, 139,794.52 and 55,983 is: 77,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,305.44 : 139,794.52 = 55,983 : x
  2. Step 2: Convert to fraction form
    101,305.44/139,794.52 = 55,983/x
  3. Step 3: Cross multiply
    101,305.44x = 139,794.52 × 55,983
  4. Step 4: Simplify right side
    101,305.44x = 7,826,116,613.16
  5. Step 5: Solve for x
    x = 7,826,116,613.16/101,305.44
  6. Step 6: Final answer
    x = 77,252.68

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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.