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Finding the Fourth Proportional to 100,580.27, 138,752.82 and 73,297.86

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Solution

The fourth proportional to 100,580.27, 138,752.82 and 73,297.86 is: 101,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.27 : 138,752.82 = 73,297.86 : x
  2. Step 2: Convert to fraction form
    100,580.27/138,752.82 = 73,297.86/x
  3. Step 3: Cross multiply
    100,580.27x = 138,752.82 × 73,297.86
  4. Step 4: Simplify right side
    100,580.27x = 10,170,285,241.28
  5. Step 5: Solve for x
    x = 10,170,285,241.28/100,580.27
  6. Step 6: Final answer
    x = 101,116.10

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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.