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Finding the Fourth Proportional to 135,465.18, 203,212.17 and 41,978.22

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Solution

The fourth proportional to 135,465.18, 203,212.17 and 41,978.22 is: 62,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,465.18 : 203,212.17 = 41,978.22 : x
  2. Step 2: Convert to fraction form
    135,465.18/203,212.17 = 41,978.22/x
  3. Step 3: Cross multiply
    135,465.18x = 203,212.17 × 41,978.22
  4. Step 4: Simplify right side
    135,465.18x = 8,530,485,178.94
  5. Step 5: Solve for x
    x = 8,530,485,178.94/135,465.18
  6. Step 6: Final answer
    x = 62,971.79

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1.5x scale

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.