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Finding the Fourth Proportional to 74,605.86, 111,896.64 and 30,230.82

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Solution

The fourth proportional to 74,605.86, 111,896.64 and 30,230.82 is: 45,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,605.86 : 111,896.64 = 30,230.82 : x
  2. Step 2: Convert to fraction form
    74,605.86/111,896.64 = 30,230.82/x
  3. Step 3: Cross multiply
    74,605.86x = 111,896.64 × 30,230.82
  4. Step 4: Simplify right side
    74,605.86x = 3,382,727,182.44
  5. Step 5: Solve for x
    x = 3,382,727,182.44/74,605.86
  6. Step 6: Final answer
    x = 45,341.31

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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.