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Finding the Fourth Proportional to 103,782.40, 155,414.40 and 68,531.20

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Solution

The fourth proportional to 103,782.40, 155,414.40 and 68,531.20 is: 102,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782.40 : 155,414.40 = 68,531.20 : x
  2. Step 2: Convert to fraction form
    103,782.40/155,414.40 = 68,531.20/x
  3. Step 3: Cross multiply
    103,782.40x = 155,414.40 × 68,531.20
  4. Step 4: Simplify right side
    103,782.40x = 10,650,735,329.28
  5. Step 5: Solve for x
    x = 10,650,735,329.28/103,782.40
  6. Step 6: Final answer
    x = 102,625.64

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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.