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Finding the Fourth Proportional to 157,363.69, 217,161.91 and 85,743.71

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Solution

The fourth proportional to 157,363.69, 217,161.91 and 85,743.71 is: 118,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,363.69 : 217,161.91 = 85,743.71 : x
  2. Step 2: Convert to fraction form
    157,363.69/217,161.91 = 85,743.71/x
  3. Step 3: Cross multiply
    157,363.69x = 217,161.91 × 85,743.71
  4. Step 4: Simplify right side
    157,363.69x = 18,620,267,834.09
  5. Step 5: Solve for x
    x = 18,620,267,834.09/157,363.69
  6. Step 6: Final answer
    x = 118,326.33

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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.