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Finding the Fourth Proportional to 101,138.22, 139,578.66 and 55,825.20

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Solution

The fourth proportional to 101,138.22, 139,578.66 and 55,825.20 is: 77,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138.22 : 139,578.66 = 55,825.20 : x
  2. Step 2: Convert to fraction form
    101,138.22/139,578.66 = 55,825.20/x
  3. Step 3: Cross multiply
    101,138.22x = 139,578.66 × 55,825.20
  4. Step 4: Simplify right side
    101,138.22x = 7,792,006,610.23
  5. Step 5: Solve for x
    x = 7,792,006,610.23/101,138.22
  6. Step 6: Final answer
    x = 77,043.15

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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.