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Finding the Fourth Proportional to 218,990.16, 302,183.76 and 161,659.92

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Solution

The fourth proportional to 218,990.16, 302,183.76 and 161,659.92 is: 223,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,990.16 : 302,183.76 = 161,659.92 : x
  2. Step 2: Convert to fraction form
    218,990.16/302,183.76 = 161,659.92/x
  3. Step 3: Cross multiply
    218,990.16x = 302,183.76 × 161,659.92
  4. Step 4: Simplify right side
    218,990.16x = 48,851,002,466.90
  5. Step 5: Solve for x
    x = 48,851,002,466.90/218,990.16
  6. Step 6: Final answer
    x = 223,073.96

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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.