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Finding the Fourth Proportional to 100,983.74, 139,351.21 and 55,659.22

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Solution

The fourth proportional to 100,983.74, 139,351.21 and 55,659.22 is: 76,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,983.74 : 139,351.21 = 55,659.22 : x
  2. Step 2: Convert to fraction form
    100,983.74/139,351.21 = 55,659.22/x
  3. Step 3: Cross multiply
    100,983.74x = 139,351.21 × 55,659.22
  4. Step 4: Simplify right side
    100,983.74x = 7,756,179,167.13
  5. Step 5: Solve for x
    x = 7,756,179,167.13/100,983.74
  6. Step 6: Final answer
    x = 76,806.22

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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.