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Finding the Fourth Proportional to 77,662.68, 116,465.28 and 27,729.36

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Solution

The fourth proportional to 77,662.68, 116,465.28 and 27,729.36 is: 41,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662.68 : 116,465.28 = 27,729.36 : x
  2. Step 2: Convert to fraction form
    77,662.68/116,465.28 = 27,729.36/x
  3. Step 3: Cross multiply
    77,662.68x = 116,465.28 × 27,729.36
  4. Step 4: Simplify right side
    77,662.68x = 3,229,507,676.62
  5. Step 5: Solve for x
    x = 3,229,507,676.62/77,662.68
  6. Step 6: Final answer
    x = 41,583.78

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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.