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Finding the Fourth Proportional to 80,294.48, 120,419.64 and 33,539.60

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Solution

The fourth proportional to 80,294.48, 120,419.64 and 33,539.60 is: 50,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,294.48 : 120,419.64 = 33,539.60 : x
  2. Step 2: Convert to fraction form
    80,294.48/120,419.64 = 33,539.60/x
  3. Step 3: Cross multiply
    80,294.48x = 120,419.64 × 33,539.60
  4. Step 4: Simplify right side
    80,294.48x = 4,038,826,557.74
  5. Step 5: Solve for x
    x = 4,038,826,557.74/80,294.48
  6. Step 6: Final answer
    x = 50,300.18

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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.