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Finding the Fourth Proportional to 104,692.32, 156,978.80 and 71,452.62

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Solution

The fourth proportional to 104,692.32, 156,978.80 and 71,452.62 is: 107,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,692.32 : 156,978.80 = 71,452.62 : x
  2. Step 2: Convert to fraction form
    104,692.32/156,978.80 = 71,452.62/x
  3. Step 3: Cross multiply
    104,692.32x = 156,978.80 × 71,452.62
  4. Step 4: Simplify right side
    104,692.32x = 11,216,546,187.19
  5. Step 5: Solve for x
    x = 11,216,546,187.19/104,692.32
  6. Step 6: Final answer
    x = 107,138.19

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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.