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Finding the Fourth Proportional to 223,006.62, 307,749 and 126,208.71

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Solution

The fourth proportional to 223,006.62, 307,749 and 126,208.71 is: 174,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,006.62 : 307,749 = 126,208.71 : x
  2. Step 2: Convert to fraction form
    223,006.62/307,749 = 126,208.71/x
  3. Step 3: Cross multiply
    223,006.62x = 307,749 × 126,208.71
  4. Step 4: Simplify right side
    223,006.62x = 38,840,604,293.79
  5. Step 5: Solve for x
    x = 38,840,604,293.79/223,006.62
  6. Step 6: Final answer
    x = 174,167.94

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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.