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Finding the Fourth Proportional to 78,107.28, 117,136.71 and 28,180.90

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Solution

The fourth proportional to 78,107.28, 117,136.71 and 28,180.90 is: 42,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.28 : 117,136.71 = 28,180.90 : x
  2. Step 2: Convert to fraction form
    78,107.28/117,136.71 = 28,180.90/x
  3. Step 3: Cross multiply
    78,107.28x = 117,136.71 × 28,180.90
  4. Step 4: Simplify right side
    78,107.28x = 3,301,017,910.84
  5. Step 5: Solve for x
    x = 3,301,017,910.84/78,107.28
  6. Step 6: Final answer
    x = 42,262.62

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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.