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Finding the Fourth Proportional to 279,987.60, 419,872.20 and 122,108.40

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Solution

The fourth proportional to 279,987.60, 419,872.20 and 122,108.40 is: 183,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,987.60 : 419,872.20 = 122,108.40 : x
  2. Step 2: Convert to fraction form
    279,987.60/419,872.20 = 122,108.40/x
  3. Step 3: Cross multiply
    279,987.60x = 419,872.20 × 122,108.40
  4. Step 4: Simplify right side
    279,987.60x = 51,269,922,546.48
  5. Step 5: Solve for x
    x = 51,269,922,546.48/279,987.60
  6. Step 6: Final answer
    x = 183,114.98

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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.