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Finding the Fourth Proportional to 61,878.52, 85,414.48 and 36,728

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Solution

The fourth proportional to 61,878.52, 85,414.48 and 36,728 is: 50,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,878.52 : 85,414.48 = 36,728 : x
  2. Step 2: Convert to fraction form
    61,878.52/85,414.48 = 36,728/x
  3. Step 3: Cross multiply
    61,878.52x = 85,414.48 × 36,728
  4. Step 4: Simplify right side
    61,878.52x = 3,137,103,021.44
  5. Step 5: Solve for x
    x = 3,137,103,021.44/61,878.52
  6. Step 6: Final answer
    x = 50,697.77

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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.