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Finding the Fourth Proportional to 100,736.88, 139,018.68 and 55,418.64

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Solution

The fourth proportional to 100,736.88, 139,018.68 and 55,418.64 is: 76,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,736.88 : 139,018.68 = 55,418.64 : x
  2. Step 2: Convert to fraction form
    100,736.88/139,018.68 = 55,418.64/x
  3. Step 3: Cross multiply
    100,736.88x = 139,018.68 × 55,418.64
  4. Step 4: Simplify right side
    100,736.88x = 7,704,226,180.20
  5. Step 5: Solve for x
    x = 7,704,226,180.20/100,736.88
  6. Step 6: Final answer
    x = 76,478.71

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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.