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Finding the Fourth Proportional to 57,115.73, 85,655.07 and 19,666.60

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Solution

The fourth proportional to 57,115.73, 85,655.07 and 19,666.60 is: 29,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115.73 : 85,655.07 = 19,666.60 : x
  2. Step 2: Convert to fraction form
    57,115.73/85,655.07 = 19,666.60/x
  3. Step 3: Cross multiply
    57,115.73x = 85,655.07 × 19,666.60
  4. Step 4: Simplify right side
    57,115.73x = 1,684,543,785.52
  5. Step 5: Solve for x
    x = 1,684,543,785.52/57,115.73
  6. Step 6: Final answer
    x = 29,493.52

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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.