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Finding the Fourth Proportional to 100,460.69, 138,635.93 and 55,138.97

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Solution

The fourth proportional to 100,460.69, 138,635.93 and 55,138.97 is: 76,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460.69 : 138,635.93 = 55,138.97 : x
  2. Step 2: Convert to fraction form
    100,460.69/138,635.93 = 55,138.97/x
  3. Step 3: Cross multiply
    100,460.69x = 138,635.93 × 55,138.97
  4. Step 4: Simplify right side
    100,460.69x = 7,644,242,109.50
  5. Step 5: Solve for x
    x = 7,644,242,109.50/100,460.69
  6. Step 6: Final answer
    x = 76,091.87

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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.