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Finding the Fourth Proportional to 103,414.40, 155,121.60 and 77,170.40

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Solution

The fourth proportional to 103,414.40, 155,121.60 and 77,170.40 is: 115,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.40 : 155,121.60 = 77,170.40 : x
  2. Step 2: Convert to fraction form
    103,414.40/155,121.60 = 77,170.40/x
  3. Step 3: Cross multiply
    103,414.40x = 155,121.60 × 77,170.40
  4. Step 4: Simplify right side
    103,414.40x = 11,970,795,920.64
  5. Step 5: Solve for x
    x = 11,970,795,920.64/103,414.40
  6. Step 6: Final answer
    x = 115,755.60

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1.5x scale

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.