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Finding the Fourth Proportional to 100,333, 138,481.14 and 60,055.75

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Solution

The fourth proportional to 100,333, 138,481.14 and 60,055.75 is: 82,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,333 : 138,481.14 = 60,055.75 : x
  2. Step 2: Convert to fraction form
    100,333/138,481.14 = 60,055.75/x
  3. Step 3: Cross multiply
    100,333x = 138,481.14 × 60,055.75
  4. Step 4: Simplify right side
    100,333x = 8,316,588,723.56
  5. Step 5: Solve for x
    x = 8,316,588,723.56/100,333
  6. Step 6: Final answer
    x = 82,889.86

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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.