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Finding the Fourth Proportional to 78,550.52, 117,828.32 and 31,174.44

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Solution

The fourth proportional to 78,550.52, 117,828.32 and 31,174.44 is: 46,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550.52 : 117,828.32 = 31,174.44 : x
  2. Step 2: Convert to fraction form
    78,550.52/117,828.32 = 31,174.44/x
  3. Step 3: Cross multiply
    78,550.52x = 117,828.32 × 31,174.44
  4. Step 4: Simplify right side
    78,550.52x = 3,673,231,892.14
  5. Step 5: Solve for x
    x = 3,673,231,892.14/78,550.52
  6. Step 6: Final answer
    x = 46,762.67

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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.