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Finding the Fourth Proportional to 141,419.80, 212,129.70 and 135,976.60

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Solution

The fourth proportional to 141,419.80, 212,129.70 and 135,976.60 is: 203,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,419.80 : 212,129.70 = 135,976.60 : x
  2. Step 2: Convert to fraction form
    141,419.80/212,129.70 = 135,976.60/x
  3. Step 3: Cross multiply
    141,419.80x = 212,129.70 × 135,976.60
  4. Step 4: Simplify right side
    141,419.80x = 28,844,675,365.02
  5. Step 5: Solve for x
    x = 28,844,675,365.02/141,419.80
  6. Step 6: Final answer
    x = 203,964.90

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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.