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Finding the Fourth Proportional to 247,845.88, 342,019.46 and 145,847.84

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Solution

The fourth proportional to 247,845.88, 342,019.46 and 145,847.84 is: 201,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,845.88 : 342,019.46 = 145,847.84 : x
  2. Step 2: Convert to fraction form
    247,845.88/342,019.46 = 145,847.84/x
  3. Step 3: Cross multiply
    247,845.88x = 342,019.46 × 145,847.84
  4. Step 4: Simplify right side
    247,845.88x = 49,882,800,057.35
  5. Step 5: Solve for x
    x = 49,882,800,057.35/247,845.88
  6. Step 6: Final answer
    x = 201,265.40

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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.