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Finding the Fourth Proportional to 216,381.76, 298,612.92 and 120,898.96

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Solution

The fourth proportional to 216,381.76, 298,612.92 and 120,898.96 is: 166,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,381.76 : 298,612.92 = 120,898.96 : x
  2. Step 2: Convert to fraction form
    216,381.76/298,612.92 = 120,898.96/x
  3. Step 3: Cross multiply
    216,381.76x = 298,612.92 × 120,898.96
  4. Step 4: Simplify right side
    216,381.76x = 36,101,991,470.56
  5. Step 5: Solve for x
    x = 36,101,991,470.56/216,381.76
  6. Step 6: Final answer
    x = 166,843.97

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1.5x scale

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.