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Finding the Fourth Proportional to 77,729.67, 116,581.46 and 21,575.48

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Solution

The fourth proportional to 77,729.67, 116,581.46 and 21,575.48 is: 32,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,729.67 : 116,581.46 = 21,575.48 : x
  2. Step 2: Convert to fraction form
    77,729.67/116,581.46 = 21,575.48/x
  3. Step 3: Cross multiply
    77,729.67x = 116,581.46 × 21,575.48
  4. Step 4: Simplify right side
    77,729.67x = 2,515,300,850.72
  5. Step 5: Solve for x
    x = 2,515,300,850.72/77,729.67
  6. Step 6: Final answer
    x = 32,359.60

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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.