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Finding the Fourth Proportional to 226,035.78, 311,939.15 and 135,406.50

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Solution

The fourth proportional to 226,035.78, 311,939.15 and 135,406.50 is: 186,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,035.78 : 311,939.15 = 135,406.50 : x
  2. Step 2: Convert to fraction form
    226,035.78/311,939.15 = 135,406.50/x
  3. Step 3: Cross multiply
    226,035.78x = 311,939.15 × 135,406.50
  4. Step 4: Simplify right side
    226,035.78x = 42,238,587,837.44
  5. Step 5: Solve for x
    x = 42,238,587,837.44/226,035.78
  6. Step 6: Final answer
    x = 186,866.82

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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.