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Finding the Fourth Proportional to 77,697.68, 116,529.66 and 27,781.24

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Solution

The fourth proportional to 77,697.68, 116,529.66 and 27,781.24 is: 41,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,697.68 : 116,529.66 = 27,781.24 : x
  2. Step 2: Convert to fraction form
    77,697.68/116,529.66 = 27,781.24/x
  3. Step 3: Cross multiply
    77,697.68x = 116,529.66 × 27,781.24
  4. Step 4: Simplify right side
    77,697.68x = 3,237,338,451.58
  5. Step 5: Solve for x
    x = 3,237,338,451.58/77,697.68
  6. Step 6: Final answer
    x = 41,665.83

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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.