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Finding the Fourth Proportional to 73,112.96, 109,647.11 and 30,992.25

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Solution

The fourth proportional to 73,112.96, 109,647.11 and 30,992.25 is: 46,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112.96 : 109,647.11 = 30,992.25 : x
  2. Step 2: Convert to fraction form
    73,112.96/109,647.11 = 30,992.25/x
  3. Step 3: Cross multiply
    73,112.96x = 109,647.11 × 30,992.25
  4. Step 4: Simplify right side
    73,112.96x = 3,398,210,644.90
  5. Step 5: Solve for x
    x = 3,398,210,644.90/73,112.96
  6. Step 6: Final answer
    x = 46,478.91

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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.