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Finding the Fourth Proportional to 157,823, 217,802.22 and 90,755

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Solution

The fourth proportional to 157,823, 217,802.22 and 90,755 is: 125,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,823 : 217,802.22 = 90,755 : x
  2. Step 2: Convert to fraction form
    157,823/217,802.22 = 90,755/x
  3. Step 3: Cross multiply
    157,823x = 217,802.22 × 90,755
  4. Step 4: Simplify right side
    157,823x = 19,766,640,476.10
  5. Step 5: Solve for x
    x = 19,766,640,476.10/157,823
  6. Step 6: Final answer
    x = 125,245.63

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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.