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Finding the Fourth Proportional to 77,181.86, 115,723.38 and 35,018.12

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Solution

The fourth proportional to 77,181.86, 115,723.38 and 35,018.12 is: 52,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,181.86 : 115,723.38 = 35,018.12 : x
  2. Step 2: Convert to fraction form
    77,181.86/115,723.38 = 35,018.12/x
  3. Step 3: Cross multiply
    77,181.86x = 115,723.38 × 35,018.12
  4. Step 4: Simplify right side
    77,181.86x = 4,052,415,628.27
  5. Step 5: Solve for x
    x = 4,052,415,628.27/77,181.86
  6. Step 6: Final answer
    x = 52,504.77

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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.