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Finding the Fourth Proportional to 100,993.25, 139,371.64 and 55,672.86

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Solution

The fourth proportional to 100,993.25, 139,371.64 and 55,672.86 is: 76,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,993.25 : 139,371.64 = 55,672.86 : x
  2. Step 2: Convert to fraction form
    100,993.25/139,371.64 = 55,672.86/x
  3. Step 3: Cross multiply
    100,993.25x = 139,371.64 × 55,672.86
  4. Step 4: Simplify right side
    100,993.25x = 7,759,217,871.28
  5. Step 5: Solve for x
    x = 7,759,217,871.28/100,993.25
  6. Step 6: Final answer
    x = 76,829.07

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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.