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Finding the Fourth Proportional to 157,942.82, 217,960.56 and 86,322.82

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Solution

The fourth proportional to 157,942.82, 217,960.56 and 86,322.82 is: 119,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,942.82 : 217,960.56 = 86,322.82 : x
  2. Step 2: Convert to fraction form
    157,942.82/217,960.56 = 86,322.82/x
  3. Step 3: Cross multiply
    157,942.82x = 217,960.56 × 86,322.82
  4. Step 4: Simplify right side
    157,942.82x = 18,814,970,187.98
  5. Step 5: Solve for x
    x = 18,814,970,187.98/157,942.82
  6. Step 6: Final answer
    x = 119,125.20

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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.