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Finding the Fourth Proportional to 259,470.54, 389,203.47 and 81,977.52

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Solution

The fourth proportional to 259,470.54, 389,203.47 and 81,977.52 is: 122,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,470.54 : 389,203.47 = 81,977.52 : x
  2. Step 2: Convert to fraction form
    259,470.54/389,203.47 = 81,977.52/x
  3. Step 3: Cross multiply
    259,470.54x = 389,203.47 × 81,977.52
  4. Step 4: Simplify right side
    259,470.54x = 31,905,935,245.99
  5. Step 5: Solve for x
    x = 31,905,935,245.99/259,470.54
  6. Step 6: Final answer
    x = 122,965.54

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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.