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Finding the Fourth Proportional to 57,209.78, 85,813.59 and 17,766.02

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Solution

The fourth proportional to 57,209.78, 85,813.59 and 17,766.02 is: 26,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.78 : 85,813.59 = 17,766.02 : x
  2. Step 2: Convert to fraction form
    57,209.78/85,813.59 = 17,766.02/x
  3. Step 3: Cross multiply
    57,209.78x = 85,813.59 × 17,766.02
  4. Step 4: Simplify right side
    57,209.78x = 1,524,565,956.21
  5. Step 5: Solve for x
    x = 1,524,565,956.21/57,209.78
  6. Step 6: Final answer
    x = 26,648.69

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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.