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Finding the Fourth Proportional to 135,616.40, 203,421.40 and 37,120.40

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Solution

The fourth proportional to 135,616.40, 203,421.40 and 37,120.40 is: 55,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,616.40 : 203,421.40 = 37,120.40 : x
  2. Step 2: Convert to fraction form
    135,616.40/203,421.40 = 37,120.40/x
  3. Step 3: Cross multiply
    135,616.40x = 203,421.40 × 37,120.40
  4. Step 4: Simplify right side
    135,616.40x = 7,551,083,736.56
  5. Step 5: Solve for x
    x = 7,551,083,736.56/135,616.40
  6. Step 6: Final answer
    x = 55,679.72

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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.