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Finding the Fourth Proportional to 157,912.97, 217,918.62 and 86,291.69

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Solution

The fourth proportional to 157,912.97, 217,918.62 and 86,291.69 is: 119,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,912.97 : 217,918.62 = 86,291.69 : x
  2. Step 2: Convert to fraction form
    157,912.97/217,918.62 = 86,291.69/x
  3. Step 3: Cross multiply
    157,912.97x = 217,918.62 × 86,291.69
  4. Step 4: Simplify right side
    157,912.97x = 18,804,564,912.67
  5. Step 5: Solve for x
    x = 18,804,564,912.67/157,912.97
  6. Step 6: Final answer
    x = 119,081.83

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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.