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Finding the Fourth Proportional to 116,255.26, 160,481.01 and 78,580.54

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Solution

The fourth proportional to 116,255.26, 160,481.01 and 78,580.54 is: 108,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,255.26 : 160,481.01 = 78,580.54 : x
  2. Step 2: Convert to fraction form
    116,255.26/160,481.01 = 78,580.54/x
  3. Step 3: Cross multiply
    116,255.26x = 160,481.01 × 78,580.54
  4. Step 4: Simplify right side
    116,255.26x = 12,610,684,425.55
  5. Step 5: Solve for x
    x = 12,610,684,425.55/116,255.26
  6. Step 6: Final answer
    x = 108,474.10

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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.