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Finding the Fourth Proportional to 157,940.20, 217,956.94 and 86,320.20

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Solution

The fourth proportional to 157,940.20, 217,956.94 and 86,320.20 is: 119,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,940.20 : 217,956.94 = 86,320.20 : x
  2. Step 2: Convert to fraction form
    157,940.20/217,956.94 = 86,320.20/x
  3. Step 3: Cross multiply
    157,940.20x = 217,956.94 × 86,320.20
  4. Step 4: Simplify right side
    157,940.20x = 18,814,085,778.20
  5. Step 5: Solve for x
    x = 18,814,085,778.20/157,940.20
  6. Step 6: Final answer
    x = 119,121.58

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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.