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Finding the Fourth Proportional to 216,475.92, 298,737.20 and 120,982.61

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Solution

The fourth proportional to 216,475.92, 298,737.20 and 120,982.61 is: 166,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,475.92 : 298,737.20 = 120,982.61 : x
  2. Step 2: Convert to fraction form
    216,475.92/298,737.20 = 120,982.61/x
  3. Step 3: Cross multiply
    216,475.92x = 298,737.20 × 120,982.61
  4. Step 4: Simplify right side
    216,475.92x = 36,142,007,209.39
  5. Step 5: Solve for x
    x = 36,142,007,209.39/216,475.92
  6. Step 6: Final answer
    x = 166,956.25

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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.