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Finding the Fourth Proportional to 78,200.70, 117,020.72 and 67,706.90

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Solution

The fourth proportional to 78,200.70, 117,020.72 and 67,706.90 is: 101,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.70 : 117,020.72 = 67,706.90 : x
  2. Step 2: Convert to fraction form
    78,200.70/117,020.72 = 67,706.90/x
  3. Step 3: Cross multiply
    78,200.70x = 117,020.72 × 67,706.90
  4. Step 4: Simplify right side
    78,200.70x = 7,923,110,186.97
  5. Step 5: Solve for x
    x = 7,923,110,186.97/78,200.70
  6. Step 6: Final answer
    x = 101,317.64

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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.