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Finding the Fourth Proportional to 78,170.26, 116,683.31 and 67,147.78

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Solution

The fourth proportional to 78,170.26, 116,683.31 and 67,147.78 is: 100,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,170.26 : 116,683.31 = 67,147.78 : x
  2. Step 2: Convert to fraction form
    78,170.26/116,683.31 = 67,147.78/x
  3. Step 3: Cross multiply
    78,170.26x = 116,683.31 × 67,147.78
  4. Step 4: Simplify right side
    78,170.26x = 7,835,025,229.55
  5. Step 5: Solve for x
    x = 7,835,025,229.55/78,170.26
  6. Step 6: Final answer
    x = 100,230.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.