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Finding the Fourth Proportional to 78,847.70, 118,235.10 and 34,451.60

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Solution

The fourth proportional to 78,847.70, 118,235.10 and 34,451.60 is: 51,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,847.70 : 118,235.10 = 34,451.60 : x
  2. Step 2: Convert to fraction form
    78,847.70/118,235.10 = 34,451.60/x
  3. Step 3: Cross multiply
    78,847.70x = 118,235.10 × 34,451.60
  4. Step 4: Simplify right side
    78,847.70x = 4,073,388,371.16
  5. Step 5: Solve for x
    x = 4,073,388,371.16/78,847.70
  6. Step 6: Final answer
    x = 51,661.47

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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.