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Finding the Fourth Proportional to 100,493.70, 138,680.71 and 55,172.44

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Solution

The fourth proportional to 100,493.70, 138,680.71 and 55,172.44 is: 76,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,493.70 : 138,680.71 = 55,172.44 : x
  2. Step 2: Convert to fraction form
    100,493.70/138,680.71 = 55,172.44/x
  3. Step 3: Cross multiply
    100,493.70x = 138,680.71 × 55,172.44
  4. Step 4: Simplify right side
    100,493.70x = 7,651,353,151.63
  5. Step 5: Solve for x
    x = 7,651,353,151.63/100,493.70
  6. Step 6: Final answer
    x = 76,137.64

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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.