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Finding the Fourth Proportional to 279,820.48, 419,670.88 and 80,087.24

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Solution

The fourth proportional to 279,820.48, 419,670.88 and 80,087.24 is: 120,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,820.48 : 419,670.88 = 80,087.24 : x
  2. Step 2: Convert to fraction form
    279,820.48/419,670.88 = 80,087.24/x
  3. Step 3: Cross multiply
    279,820.48x = 419,670.88 × 80,087.24
  4. Step 4: Simplify right side
    279,820.48x = 33,610,282,487.57
  5. Step 5: Solve for x
    x = 33,610,282,487.57/279,820.48
  6. Step 6: Final answer
    x = 120,113.73

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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.