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Finding the Fourth Proportional to 205,431.92, 283,470 and 120,518

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Solution

The fourth proportional to 205,431.92, 283,470 and 120,518 is: 166,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,431.92 : 283,470 = 120,518 : x
  2. Step 2: Convert to fraction form
    205,431.92/283,470 = 120,518/x
  3. Step 3: Cross multiply
    205,431.92x = 283,470 × 120,518
  4. Step 4: Simplify right side
    205,431.92x = 34,163,237,460
  5. Step 5: Solve for x
    x = 34,163,237,460/205,431.92
  6. Step 6: Final answer
    x = 166,299.56

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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.