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Finding the Fourth Proportional to 217,217.66, 299,755.50 and 126,567.98

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Solution

The fourth proportional to 217,217.66, 299,755.50 and 126,567.98 is: 174,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,217.66 : 299,755.50 = 126,567.98 : x
  2. Step 2: Convert to fraction form
    217,217.66/299,755.50 = 126,567.98/x
  3. Step 3: Cross multiply
    217,217.66x = 299,755.50 × 126,567.98
  4. Step 4: Simplify right side
    217,217.66x = 37,939,448,128.89
  5. Step 5: Solve for x
    x = 37,939,448,128.89/217,217.66
  6. Step 6: Final answer
    x = 174,660.97

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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.