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Finding the Fourth Proportional to 135,972.40, 203,877.60 and 83,419.60

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Solution

The fourth proportional to 135,972.40, 203,877.60 and 83,419.60 is: 125,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972.40 : 203,877.60 = 83,419.60 : x
  2. Step 2: Convert to fraction form
    135,972.40/203,877.60 = 83,419.60/x
  3. Step 3: Cross multiply
    135,972.40x = 203,877.60 × 83,419.60
  4. Step 4: Simplify right side
    135,972.40x = 17,007,387,840.96
  5. Step 5: Solve for x
    x = 17,007,387,840.96/135,972.40
  6. Step 6: Final answer
    x = 125,079.71

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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.