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Finding the Fourth Proportional to 216,383.06, 298,603.13 and 120,890.48

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Solution

The fourth proportional to 216,383.06, 298,603.13 and 120,890.48 is: 166,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,383.06 : 298,603.13 = 120,890.48 : x
  2. Step 2: Convert to fraction form
    216,383.06/298,603.13 = 120,890.48/x
  3. Step 3: Cross multiply
    216,383.06x = 298,603.13 × 120,890.48
  4. Step 4: Simplify right side
    216,383.06x = 36,098,273,617.73
  5. Step 5: Solve for x
    x = 36,098,273,617.73/216,383.06
  6. Step 6: Final answer
    x = 166,825.78

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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.