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Finding the Fourth Proportional to 217,222.97, 299,802.47 and 126,631.96

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Solution

The fourth proportional to 217,222.97, 299,802.47 and 126,631.96 is: 174,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,222.97 : 299,802.47 = 126,631.96 : x
  2. Step 2: Convert to fraction form
    217,222.97/299,802.47 = 126,631.96/x
  3. Step 3: Cross multiply
    217,222.97x = 299,802.47 × 126,631.96
  4. Step 4: Simplify right side
    217,222.97x = 37,964,573,006.28
  5. Step 5: Solve for x
    x = 37,964,573,006.28/217,222.97
  6. Step 6: Final answer
    x = 174,772.37

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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.