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Finding the Fourth Proportional to 77,105.76, 115,645.77 and 27,174.12

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Solution

The fourth proportional to 77,105.76, 115,645.77 and 27,174.12 is: 40,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.76 : 115,645.77 = 27,174.12 : x
  2. Step 2: Convert to fraction form
    77,105.76/115,645.77 = 27,174.12/x
  3. Step 3: Cross multiply
    77,105.76x = 115,645.77 × 27,174.12
  4. Step 4: Simplify right side
    77,105.76x = 3,142,572,031.47
  5. Step 5: Solve for x
    x = 3,142,572,031.47/77,105.76
  6. Step 6: Final answer
    x = 40,756.64

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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.