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Finding the Fourth Proportional to 216,126, 298,288.44 and 126,702

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Solution

The fourth proportional to 216,126, 298,288.44 and 126,702 is: 174,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,126 : 298,288.44 = 126,702 : x
  2. Step 2: Convert to fraction form
    216,126/298,288.44 = 126,702/x
  3. Step 3: Cross multiply
    216,126x = 298,288.44 × 126,702
  4. Step 4: Simplify right side
    216,126x = 37,793,741,924.88
  5. Step 5: Solve for x
    x = 37,793,741,924.88/216,126
  6. Step 6: Final answer
    x = 174,869.02

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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.