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Finding the Fourth Proportional to 157,396.91, 217,201.43 and 85,775.41

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Solution

The fourth proportional to 157,396.91, 217,201.43 and 85,775.41 is: 118,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,396.91 : 217,201.43 = 85,775.41 : x
  2. Step 2: Convert to fraction form
    157,396.91/217,201.43 = 85,775.41/x
  3. Step 3: Cross multiply
    157,396.91x = 217,201.43 × 85,775.41
  4. Step 4: Simplify right side
    157,396.91x = 18,630,540,195.95
  5. Step 5: Solve for x
    x = 18,630,540,195.95/157,396.91
  6. Step 6: Final answer
    x = 118,366.62

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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.