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Finding the Fourth Proportional to 157,806, 217,778.76 and 90,738

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Solution

The fourth proportional to 157,806, 217,778.76 and 90,738 is: 125,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,806 : 217,778.76 = 90,738 : x
  2. Step 2: Convert to fraction form
    157,806/217,778.76 = 90,738/x
  3. Step 3: Cross multiply
    157,806x = 217,778.76 × 90,738
  4. Step 4: Simplify right side
    157,806x = 19,760,809,124.88
  5. Step 5: Solve for x
    x = 19,760,809,124.88/157,806
  6. Step 6: Final answer
    x = 125,222.17

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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.