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Finding the Fourth Proportional to 257,056.89, 354,738.22 and 143,879.64

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Solution

The fourth proportional to 257,056.89, 354,738.22 and 143,879.64 is: 198,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,056.89 : 354,738.22 = 143,879.64 : x
  2. Step 2: Convert to fraction form
    257,056.89/354,738.22 = 143,879.64/x
  3. Step 3: Cross multiply
    257,056.89x = 354,738.22 × 143,879.64
  4. Step 4: Simplify right side
    257,056.89x = 51,039,605,697.87
  5. Step 5: Solve for x
    x = 51,039,605,697.87/257,056.89
  6. Step 6: Final answer
    x = 198,553.74

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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.