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Finding the Fourth Proportional to 135,919.30, 203,490.15 and 83,431.30

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Solution

The fourth proportional to 135,919.30, 203,490.15 and 83,431.30 is: 124,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,919.30 : 203,490.15 = 83,431.30 : x
  2. Step 2: Convert to fraction form
    135,919.30/203,490.15 = 83,431.30/x
  3. Step 3: Cross multiply
    135,919.30x = 203,490.15 × 83,431.30
  4. Step 4: Simplify right side
    135,919.30x = 16,977,447,751.70
  5. Step 5: Solve for x
    x = 16,977,447,751.70/135,919.30
  6. Step 6: Final answer
    x = 124,908.29

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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.