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Finding the Fourth Proportional to 80,388.21, 110,985.90 and 51,757.52

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Solution

The fourth proportional to 80,388.21, 110,985.90 and 51,757.52 is: 71,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,388.21 : 110,985.90 = 51,757.52 : x
  2. Step 2: Convert to fraction form
    80,388.21/110,985.90 = 51,757.52/x
  3. Step 3: Cross multiply
    80,388.21x = 110,985.90 × 51,757.52
  4. Step 4: Simplify right side
    80,388.21x = 5,744,354,189.95
  5. Step 5: Solve for x
    x = 5,744,354,189.95/80,388.21
  6. Step 6: Final answer
    x = 71,457.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.