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Finding the Fourth Proportional to 100,679.31, 138,937.73 and 55,361.93

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Solution

The fourth proportional to 100,679.31, 138,937.73 and 55,361.93 is: 76,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,679.31 : 138,937.73 = 55,361.93 : x
  2. Step 2: Convert to fraction form
    100,679.31/138,937.73 = 55,361.93/x
  3. Step 3: Cross multiply
    100,679.31x = 138,937.73 × 55,361.93
  4. Step 4: Simplify right side
    100,679.31x = 7,691,859,911.12
  5. Step 5: Solve for x
    x = 7,691,859,911.12/100,679.31
  6. Step 6: Final answer
    x = 76,399.61

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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.