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Finding the Fourth Proportional to 80,316.75, 120,388.14 and 35,882.31

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Solution

The fourth proportional to 80,316.75, 120,388.14 and 35,882.31 is: 53,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,316.75 : 120,388.14 = 35,882.31 : x
  2. Step 2: Convert to fraction form
    80,316.75/120,388.14 = 35,882.31/x
  3. Step 3: Cross multiply
    80,316.75x = 120,388.14 × 35,882.31
  4. Step 4: Simplify right side
    80,316.75x = 4,319,804,559.80
  5. Step 5: Solve for x
    x = 4,319,804,559.80/80,316.75
  6. Step 6: Final answer
    x = 53,784.60

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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.