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Finding the Fourth Proportional to 84,078.21, 116,007.75 and 47,771.67

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Solution

The fourth proportional to 84,078.21, 116,007.75 and 47,771.67 is: 65,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078.21 : 116,007.75 = 47,771.67 : x
  2. Step 2: Convert to fraction form
    84,078.21/116,007.75 = 47,771.67/x
  3. Step 3: Cross multiply
    84,078.21x = 116,007.75 × 47,771.67
  4. Step 4: Simplify right side
    84,078.21x = 5,541,883,950.44
  5. Step 5: Solve for x
    x = 5,541,883,950.44/84,078.21
  6. Step 6: Final answer
    x = 65,913.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.