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Finding the Fourth Proportional to 100,444, 138,617.04 and 55,732

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Solution

The fourth proportional to 100,444, 138,617.04 and 55,732 is: 76,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,444 : 138,617.04 = 55,732 : x
  2. Step 2: Convert to fraction form
    100,444/138,617.04 = 55,732/x
  3. Step 3: Cross multiply
    100,444x = 138,617.04 × 55,732
  4. Step 4: Simplify right side
    100,444x = 7,725,404,873.28
  5. Step 5: Solve for x
    x = 7,725,404,873.28/100,444
  6. Step 6: Final answer
    x = 76,912.56

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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.