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Finding the Fourth Proportional to 157,265.85, 217,029.48 and 85,647.27

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Solution

The fourth proportional to 157,265.85, 217,029.48 and 85,647.27 is: 118,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,265.85 : 217,029.48 = 85,647.27 : x
  2. Step 2: Convert to fraction form
    157,265.85/217,029.48 = 85,647.27/x
  3. Step 3: Cross multiply
    157,265.85x = 217,029.48 × 85,647.27
  4. Step 4: Simplify right side
    157,265.85x = 18,587,982,471.52
  5. Step 5: Solve for x
    x = 18,587,982,471.52/157,265.85
  6. Step 6: Final answer
    x = 118,194.65

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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.