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Finding the Fourth Proportional to 101,195.16, 139,642.11 and 55,865.82

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Solution

The fourth proportional to 101,195.16, 139,642.11 and 55,865.82 is: 77,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,195.16 : 139,642.11 = 55,865.82 : x
  2. Step 2: Convert to fraction form
    101,195.16/139,642.11 = 55,865.82/x
  3. Step 3: Cross multiply
    101,195.16x = 139,642.11 × 55,865.82
  4. Step 4: Simplify right side
    101,195.16x = 7,801,220,981.68
  5. Step 5: Solve for x
    x = 7,801,220,981.68/101,195.16
  6. Step 6: Final answer
    x = 77,090.85

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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.