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Finding the Fourth Proportional to 216,456.80, 298,709.50 and 120,963.48

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Solution

The fourth proportional to 216,456.80, 298,709.50 and 120,963.48 is: 166,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,456.80 : 298,709.50 = 120,963.48 : x
  2. Step 2: Convert to fraction form
    216,456.80/298,709.50 = 120,963.48/x
  3. Step 3: Cross multiply
    216,456.80x = 298,709.50 × 120,963.48
  4. Step 4: Simplify right side
    216,456.80x = 36,132,940,629.06
  5. Step 5: Solve for x
    x = 36,132,940,629.06/216,456.80
  6. Step 6: Final answer
    x = 166,929.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.