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Finding the Fourth Proportional to 100,185.75, 138,256.34 and 55,473.75

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Solution

The fourth proportional to 100,185.75, 138,256.34 and 55,473.75 is: 76,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185.75 : 138,256.34 = 55,473.75 : x
  2. Step 2: Convert to fraction form
    100,185.75/138,256.34 = 55,473.75/x
  3. Step 3: Cross multiply
    100,185.75x = 138,256.34 × 55,473.75
  4. Step 4: Simplify right side
    100,185.75x = 7,669,597,363.71
  5. Step 5: Solve for x
    x = 7,669,597,363.71/100,185.75
  6. Step 6: Final answer
    x = 76,553.78

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1.5x scale

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.