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Finding the Fourth Proportional to 100,596.10, 138,821.93 and 55,274.56

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Solution

The fourth proportional to 100,596.10, 138,821.93 and 55,274.56 is: 76,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.10 : 138,821.93 = 55,274.56 : x
  2. Step 2: Convert to fraction form
    100,596.10/138,821.93 = 55,274.56/x
  3. Step 3: Cross multiply
    100,596.10x = 138,821.93 × 55,274.56
  4. Step 4: Simplify right side
    100,596.10x = 7,673,321,099.10
  5. Step 5: Solve for x
    x = 7,673,321,099.10/100,596.10
  6. Step 6: Final answer
    x = 76,278.51

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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.