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Finding the Fourth Proportional to 135,878.40, 203,414.40 and 100,972.80

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Solution

The fourth proportional to 135,878.40, 203,414.40 and 100,972.80 is: 151,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,878.40 : 203,414.40 = 100,972.80 : x
  2. Step 2: Convert to fraction form
    135,878.40/203,414.40 = 100,972.80/x
  3. Step 3: Cross multiply
    135,878.40x = 203,414.40 × 100,972.80
  4. Step 4: Simplify right side
    135,878.40x = 20,539,321,528.32
  5. Step 5: Solve for x
    x = 20,539,321,528.32/135,878.40
  6. Step 6: Final answer
    x = 151,159.58

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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.