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Finding the Fourth Proportional to 61,716.78, 85,168.98 and 33,422.40

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Solution

The fourth proportional to 61,716.78, 85,168.98 and 33,422.40 is: 46,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,716.78 : 85,168.98 = 33,422.40 : x
  2. Step 2: Convert to fraction form
    61,716.78/85,168.98 = 33,422.40/x
  3. Step 3: Cross multiply
    61,716.78x = 85,168.98 × 33,422.40
  4. Step 4: Simplify right side
    61,716.78x = 2,846,551,717.15
  5. Step 5: Solve for x
    x = 2,846,551,717.15/61,716.78
  6. Step 6: Final answer
    x = 46,122.82

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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.