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Finding the Fourth Proportional to 66,961.78, 100,442.64 and 25,408.78

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Solution

The fourth proportional to 66,961.78, 100,442.64 and 25,408.78 is: 38,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,961.78 : 100,442.64 = 25,408.78 : x
  2. Step 2: Convert to fraction form
    66,961.78/100,442.64 = 25,408.78/x
  3. Step 3: Cross multiply
    66,961.78x = 100,442.64 × 25,408.78
  4. Step 4: Simplify right side
    66,961.78x = 2,552,124,942.38
  5. Step 5: Solve for x
    x = 2,552,124,942.38/66,961.78
  6. Step 6: Final answer
    x = 38,113.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.