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Finding the Fourth Proportional to 77,105.77, 115,643.16 and 27,187.90

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Solution

The fourth proportional to 77,105.77, 115,643.16 and 27,187.90 is: 40,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.77 : 115,643.16 = 27,187.90 : x
  2. Step 2: Convert to fraction form
    77,105.77/115,643.16 = 27,187.90/x
  3. Step 3: Cross multiply
    77,105.77x = 115,643.16 × 27,187.90
  4. Step 4: Simplify right side
    77,105.77x = 3,144,094,380.66
  5. Step 5: Solve for x
    x = 3,144,094,380.66/77,105.77
  6. Step 6: Final answer
    x = 40,776.38

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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.