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Finding the Fourth Proportional to 157,951.97, 217,972.82 and 89,971.81

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Solution

The fourth proportional to 157,951.97, 217,972.82 and 89,971.81 is: 124,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,951.97 : 217,972.82 = 89,971.81 : x
  2. Step 2: Convert to fraction form
    157,951.97/217,972.82 = 89,971.81/x
  3. Step 3: Cross multiply
    157,951.97x = 217,972.82 × 89,971.81
  4. Step 4: Simplify right side
    157,951.97x = 19,611,410,052.30
  5. Step 5: Solve for x
    x = 19,611,410,052.30/157,951.97
  6. Step 6: Final answer
    x = 124,160.59

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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.