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Finding the Fourth Proportional to 71,459.39, 107,194.10 and 21,539.90

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Solution

The fourth proportional to 71,459.39, 107,194.10 and 21,539.90 is: 32,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,459.39 : 107,194.10 = 21,539.90 : x
  2. Step 2: Convert to fraction form
    71,459.39/107,194.10 = 21,539.90/x
  3. Step 3: Cross multiply
    71,459.39x = 107,194.10 × 21,539.90
  4. Step 4: Simplify right side
    71,459.39x = 2,308,950,354.88
  5. Step 5: Solve for x
    x = 2,308,950,354.88/71,459.39
  6. Step 6: Final answer
    x = 32,311.36

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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.