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Finding the Fourth Proportional to 254,879.40, 381,881.70 and 166,087.20

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Solution

The fourth proportional to 254,879.40, 381,881.70 and 166,087.20 is: 248,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,879.40 : 381,881.70 = 166,087.20 : x
  2. Step 2: Convert to fraction form
    254,879.40/381,881.70 = 166,087.20/x
  3. Step 3: Cross multiply
    254,879.40x = 381,881.70 × 166,087.20
  4. Step 4: Simplify right side
    254,879.40x = 63,425,662,284.24
  5. Step 5: Solve for x
    x = 63,425,662,284.24/254,879.40
  6. Step 6: Final answer
    x = 248,845.78

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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.