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Finding the Fourth Proportional to 257,859.50, 386,798.98 and 80,365.82

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Solution

The fourth proportional to 257,859.50, 386,798.98 and 80,365.82 is: 120,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,859.50 : 386,798.98 = 80,365.82 : x
  2. Step 2: Convert to fraction form
    257,859.50/386,798.98 = 80,365.82/x
  3. Step 3: Cross multiply
    257,859.50x = 386,798.98 × 80,365.82
  4. Step 4: Simplify right side
    257,859.50x = 31,085,417,202.86
  5. Step 5: Solve for x
    x = 31,085,417,202.86/257,859.50
  6. Step 6: Final answer
    x = 120,551.76

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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.