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Finding the Fourth Proportional to 257,857.50, 386,795.97 and 80,363.82

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Solution

The fourth proportional to 257,857.50, 386,795.97 and 80,363.82 is: 120,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,857.50 : 386,795.97 = 80,363.82 : x
  2. Step 2: Convert to fraction form
    257,857.50/386,795.97 = 80,363.82/x
  3. Step 3: Cross multiply
    257,857.50x = 386,795.97 × 80,363.82
  4. Step 4: Simplify right side
    257,857.50x = 31,084,401,709.81
  5. Step 5: Solve for x
    x = 31,084,401,709.81/257,857.50
  6. Step 6: Final answer
    x = 120,548.76

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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.