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Finding the Fourth Proportional to 157,665.31, 217,578.78 and 86,046.85

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Solution

The fourth proportional to 157,665.31, 217,578.78 and 86,046.85 is: 118,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,665.31 : 217,578.78 = 86,046.85 : x
  2. Step 2: Convert to fraction form
    157,665.31/217,578.78 = 86,046.85/x
  3. Step 3: Cross multiply
    157,665.31x = 217,578.78 × 86,046.85
  4. Step 4: Simplify right side
    157,665.31x = 18,721,968,645.84
  5. Step 5: Solve for x
    x = 18,721,968,645.84/157,665.31
  6. Step 6: Final answer
    x = 118,745.01

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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.