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Finding the Fourth Proportional to 78,450.85, 117,773.76 and 78,091.21

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Solution

The fourth proportional to 78,450.85, 117,773.76 and 78,091.21 is: 117,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,450.85 : 117,773.76 = 78,091.21 : x
  2. Step 2: Convert to fraction form
    78,450.85/117,773.76 = 78,091.21/x
  3. Step 3: Cross multiply
    78,450.85x = 117,773.76 × 78,091.21
  4. Step 4: Simplify right side
    78,450.85x = 9,197,095,424.65
  5. Step 5: Solve for x
    x = 9,197,095,424.65/78,450.85
  6. Step 6: Final answer
    x = 117,233.85

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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.