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Finding the Fourth Proportional to 100,672.46, 138,928.08 and 55,351.22

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Solution

The fourth proportional to 100,672.46, 138,928.08 and 55,351.22 is: 76,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,672.46 : 138,928.08 = 55,351.22 : x
  2. Step 2: Convert to fraction form
    100,672.46/138,928.08 = 55,351.22/x
  3. Step 3: Cross multiply
    100,672.46x = 138,928.08 × 55,351.22
  4. Step 4: Simplify right side
    100,672.46x = 7,689,838,720.26
  5. Step 5: Solve for x
    x = 7,689,838,720.26/100,672.46
  6. Step 6: Final answer
    x = 76,384.73

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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.