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Finding the Fourth Proportional to 243,311.31, 335,745.61 and 135,879.02

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Solution

The fourth proportional to 243,311.31, 335,745.61 and 135,879.02 is: 187,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,311.31 : 335,745.61 = 135,879.02 : x
  2. Step 2: Convert to fraction form
    243,311.31/335,745.61 = 135,879.02/x
  3. Step 3: Cross multiply
    243,311.31x = 335,745.61 × 135,879.02
  4. Step 4: Simplify right side
    243,311.31x = 45,620,783,696.72
  5. Step 5: Solve for x
    x = 45,620,783,696.72/243,311.31
  6. Step 6: Final answer
    x = 187,499.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.