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Finding the Fourth Proportional to 100,553.40, 138,764.84 and 55,232.44

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Solution

The fourth proportional to 100,553.40, 138,764.84 and 55,232.44 is: 76,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,553.40 : 138,764.84 = 55,232.44 : x
  2. Step 2: Convert to fraction form
    100,553.40/138,764.84 = 55,232.44/x
  3. Step 3: Cross multiply
    100,553.40x = 138,764.84 × 55,232.44
  4. Step 4: Simplify right side
    100,553.40x = 7,664,320,699.41
  5. Step 5: Solve for x
    x = 7,664,320,699.41/100,553.40
  6. Step 6: Final answer
    x = 76,221.40

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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.