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Finding the Fourth Proportional to 215,230.80, 322,692.60 and 96,805.20

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Solution

The fourth proportional to 215,230.80, 322,692.60 and 96,805.20 is: 145,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,230.80 : 322,692.60 = 96,805.20 : x
  2. Step 2: Convert to fraction form
    215,230.80/322,692.60 = 96,805.20/x
  3. Step 3: Cross multiply
    215,230.80x = 322,692.60 × 96,805.20
  4. Step 4: Simplify right side
    215,230.80x = 31,238,321,681.52
  5. Step 5: Solve for x
    x = 31,238,321,681.52/215,230.80
  6. Step 6: Final answer
    x = 145,138.71

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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.