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Finding the Fourth Proportional to 226,437.92, 339,636 and 76,661.12

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Solution

The fourth proportional to 226,437.92, 339,636 and 76,661.12 is: 114,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,437.92 : 339,636 = 76,661.12 : x
  2. Step 2: Convert to fraction form
    226,437.92/339,636 = 76,661.12/x
  3. Step 3: Cross multiply
    226,437.92x = 339,636 × 76,661.12
  4. Step 4: Simplify right side
    226,437.92x = 26,036,876,152.32
  5. Step 5: Solve for x
    x = 26,036,876,152.32/226,437.92
  6. Step 6: Final answer
    x = 114,984.61

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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.