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Finding the Fourth Proportional to 78,409.52, 117,765.54 and 67,190.21

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Solution

The fourth proportional to 78,409.52, 117,765.54 and 67,190.21 is: 100,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.52 : 117,765.54 = 67,190.21 : x
  2. Step 2: Convert to fraction form
    78,409.52/117,765.54 = 67,190.21/x
  3. Step 3: Cross multiply
    78,409.52x = 117,765.54 × 67,190.21
  4. Step 4: Simplify right side
    78,409.52x = 7,912,690,774.54
  5. Step 5: Solve for x
    x = 7,912,690,774.54/78,409.52
  6. Step 6: Final answer
    x = 100,914.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.