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Finding the Fourth Proportional to 157,589.75, 217,474.37 and 85,971.27

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Solution

The fourth proportional to 157,589.75, 217,474.37 and 85,971.27 is: 118,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,589.75 : 217,474.37 = 85,971.27 : x
  2. Step 2: Convert to fraction form
    157,589.75/217,474.37 = 85,971.27/x
  3. Step 3: Cross multiply
    157,589.75x = 217,474.37 × 85,971.27
  4. Step 4: Simplify right side
    157,589.75x = 18,696,548,489.41
  5. Step 5: Solve for x
    x = 18,696,548,489.41/157,589.75
  6. Step 6: Final answer
    x = 118,640.64

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1.5x scale

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.