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Finding the Fourth Proportional to 100,529.65, 138,734.61 and 55,211.82

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Solution

The fourth proportional to 100,529.65, 138,734.61 and 55,211.82 is: 76,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,529.65 : 138,734.61 = 55,211.82 : x
  2. Step 2: Convert to fraction form
    100,529.65/138,734.61 = 55,211.82/x
  3. Step 3: Cross multiply
    100,529.65x = 138,734.61 × 55,211.82
  4. Step 4: Simplify right side
    100,529.65x = 7,659,790,315.09
  5. Step 5: Solve for x
    x = 7,659,790,315.09/100,529.65
  6. Step 6: Final answer
    x = 76,194.34

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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.