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Finding the Fourth Proportional to 100,680.89, 138,942.87 and 55,362.14

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Solution

The fourth proportional to 100,680.89, 138,942.87 and 55,362.14 is: 76,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,680.89 : 138,942.87 = 55,362.14 : x
  2. Step 2: Convert to fraction form
    100,680.89/138,942.87 = 55,362.14/x
  3. Step 3: Cross multiply
    100,680.89x = 138,942.87 × 55,362.14
  4. Step 4: Simplify right side
    100,680.89x = 7,692,173,926.23
  5. Step 5: Solve for x
    x = 7,692,173,926.23/100,680.89
  6. Step 6: Final answer
    x = 76,401.53

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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.