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Finding the Fourth Proportional to 57,155.25, 85,736.98 and 19,714.78

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Solution

The fourth proportional to 57,155.25, 85,736.98 and 19,714.78 is: 29,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,155.25 : 85,736.98 = 19,714.78 : x
  2. Step 2: Convert to fraction form
    57,155.25/85,736.98 = 19,714.78/x
  3. Step 3: Cross multiply
    57,155.25x = 85,736.98 × 19,714.78
  4. Step 4: Simplify right side
    57,155.25x = 1,690,285,348.11
  5. Step 5: Solve for x
    x = 1,690,285,348.11/57,155.25
  6. Step 6: Final answer
    x = 29,573.58

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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.