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Finding the Fourth Proportional to 85,813.89, 128,729.37 and 31,793.03

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Solution

The fourth proportional to 85,813.89, 128,729.37 and 31,793.03 is: 47,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,813.89 : 128,729.37 = 31,793.03 : x
  2. Step 2: Convert to fraction form
    85,813.89/128,729.37 = 31,793.03/x
  3. Step 3: Cross multiply
    85,813.89x = 128,729.37 × 31,793.03
  4. Step 4: Simplify right side
    85,813.89x = 4,092,695,919.68
  5. Step 5: Solve for x
    x = 4,092,695,919.68/85,813.89
  6. Step 6: Final answer
    x = 47,692.70

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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.