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Finding the Fourth Proportional to 78,230.46, 117,065.34 and 67,736.70

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Solution

The fourth proportional to 78,230.46, 117,065.34 and 67,736.70 is: 101,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.46 : 117,065.34 = 67,736.70 : x
  2. Step 2: Convert to fraction form
    78,230.46/117,065.34 = 67,736.70/x
  3. Step 3: Cross multiply
    78,230.46x = 117,065.34 × 67,736.70
  4. Step 4: Simplify right side
    78,230.46x = 7,929,619,815.98
  5. Step 5: Solve for x
    x = 7,929,619,815.98/78,230.46
  6. Step 6: Final answer
    x = 101,362.31

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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.