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Finding the Fourth Proportional to 104,692.08, 156,978.42 and 71,452.38

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Solution

The fourth proportional to 104,692.08, 156,978.42 and 71,452.38 is: 107,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,692.08 : 156,978.42 = 71,452.38 : x
  2. Step 2: Convert to fraction form
    104,692.08/156,978.42 = 71,452.38/x
  3. Step 3: Cross multiply
    104,692.08x = 156,978.42 × 71,452.38
  4. Step 4: Simplify right side
    104,692.08x = 11,216,481,717.64
  5. Step 5: Solve for x
    x = 11,216,481,717.64/104,692.08
  6. Step 6: Final answer
    x = 107,137.82

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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.