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Finding the Fourth Proportional to 157,921.36, 217,922.28 and 86,302

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Solution

The fourth proportional to 157,921.36, 217,922.28 and 86,302 is: 119,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,921.36 : 217,922.28 = 86,302 : x
  2. Step 2: Convert to fraction form
    157,921.36/217,922.28 = 86,302/x
  3. Step 3: Cross multiply
    157,921.36x = 217,922.28 × 86,302
  4. Step 4: Simplify right side
    157,921.36x = 18,807,128,608.56
  5. Step 5: Solve for x
    x = 18,807,128,608.56/157,921.36
  6. Step 6: Final answer
    x = 119,091.73

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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.