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Finding the Fourth Proportional to 217,211.66, 299,747.22 and 126,561.98

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Solution

The fourth proportional to 217,211.66, 299,747.22 and 126,561.98 is: 174,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,211.66 : 299,747.22 = 126,561.98 : x
  2. Step 2: Convert to fraction form
    217,211.66/299,747.22 = 126,561.98/x
  3. Step 3: Cross multiply
    217,211.66x = 299,747.22 × 126,561.98
  4. Step 4: Simplify right side
    217,211.66x = 37,936,601,662.70
  5. Step 5: Solve for x
    x = 37,936,601,662.70/217,211.66
  6. Step 6: Final answer
    x = 174,652.69

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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.