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Finding the Fourth Proportional to 100,838.31, 139,151.58 and 55,507.44

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Solution

The fourth proportional to 100,838.31, 139,151.58 and 55,507.44 is: 76,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.31 : 139,151.58 = 55,507.44 : x
  2. Step 2: Convert to fraction form
    100,838.31/139,151.58 = 55,507.44/x
  3. Step 3: Cross multiply
    100,838.31x = 139,151.58 × 55,507.44
  4. Step 4: Simplify right side
    100,838.31x = 7,723,947,716.85
  5. Step 5: Solve for x
    x = 7,723,947,716.85/100,838.31
  6. Step 6: Final answer
    x = 76,597.35

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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.