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Finding the Fourth Proportional to 77,110.76, 115,595.10 and 27,163.64

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Solution

The fourth proportional to 77,110.76, 115,595.10 and 27,163.64 is: 40,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110.76 : 115,595.10 = 27,163.64 : x
  2. Step 2: Convert to fraction form
    77,110.76/115,595.10 = 27,163.64/x
  3. Step 3: Cross multiply
    77,110.76x = 115,595.10 × 27,163.64
  4. Step 4: Simplify right side
    77,110.76x = 3,139,983,682.16
  5. Step 5: Solve for x
    x = 3,139,983,682.16/77,110.76
  6. Step 6: Final answer
    x = 40,720.43

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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.