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Finding the Fourth Proportional to 78,735.80, 118,103.70 and 32,022.20

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Solution

The fourth proportional to 78,735.80, 118,103.70 and 32,022.20 is: 48,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,735.80 : 118,103.70 = 32,022.20 : x
  2. Step 2: Convert to fraction form
    78,735.80/118,103.70 = 32,022.20/x
  3. Step 3: Cross multiply
    78,735.80x = 118,103.70 × 32,022.20
  4. Step 4: Simplify right side
    78,735.80x = 3,781,940,302.14
  5. Step 5: Solve for x
    x = 3,781,940,302.14/78,735.80
  6. Step 6: Final answer
    x = 48,033.30

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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.