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Finding the Fourth Proportional to 57,272.92, 85,888.77 and 19,822.82

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Solution

The fourth proportional to 57,272.92, 85,888.77 and 19,822.82 is: 29,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,272.92 : 85,888.77 = 19,822.82 : x
  2. Step 2: Convert to fraction form
    57,272.92/85,888.77 = 19,822.82/x
  3. Step 3: Cross multiply
    57,272.92x = 85,888.77 × 19,822.82
  4. Step 4: Simplify right side
    57,272.92x = 1,702,557,627.73
  5. Step 5: Solve for x
    x = 1,702,557,627.73/57,272.92
  6. Step 6: Final answer
    x = 29,727.10

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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.