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Finding the Fourth Proportional to 77,842.74, 116,771.67 and 20,915.94

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Solution

The fourth proportional to 77,842.74, 116,771.67 and 20,915.94 is: 31,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.74 : 116,771.67 = 20,915.94 : x
  2. Step 2: Convert to fraction form
    77,842.74/116,771.67 = 20,915.94/x
  3. Step 3: Cross multiply
    77,842.74x = 116,771.67 × 20,915.94
  4. Step 4: Simplify right side
    77,842.74x = 2,442,389,243.42
  5. Step 5: Solve for x
    x = 2,442,389,243.42/77,842.74
  6. Step 6: Final answer
    x = 31,375.94

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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.