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Finding the Fourth Proportional to 157,834, 217,817.42 and 90,766

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Solution

The fourth proportional to 157,834, 217,817.42 and 90,766 is: 125,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,834 : 217,817.42 = 90,766 : x
  2. Step 2: Convert to fraction form
    157,834/217,817.42 = 90,766/x
  3. Step 3: Cross multiply
    157,834x = 217,817.42 × 90,766
  4. Step 4: Simplify right side
    157,834x = 19,770,415,943.72
  5. Step 5: Solve for x
    x = 19,770,415,943.72/157,834
  6. Step 6: Final answer
    x = 125,260.82

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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.