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Finding the Fourth Proportional to 135,596.60, 203,427.30 and 65,418.20

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Solution

The fourth proportional to 135,596.60, 203,427.30 and 65,418.20 is: 98,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,596.60 : 203,427.30 = 65,418.20 : x
  2. Step 2: Convert to fraction form
    135,596.60/203,427.30 = 65,418.20/x
  3. Step 3: Cross multiply
    135,596.60x = 203,427.30 × 65,418.20
  4. Step 4: Simplify right side
    135,596.60x = 13,307,847,796.86
  5. Step 5: Solve for x
    x = 13,307,847,796.86/135,596.60
  6. Step 6: Final answer
    x = 98,142.93

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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.