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Finding the Fourth Proportional to 76,550.54, 114,827.97 and 21,146.54

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Solution

The fourth proportional to 76,550.54, 114,827.97 and 21,146.54 is: 31,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,550.54 : 114,827.97 = 21,146.54 : x
  2. Step 2: Convert to fraction form
    76,550.54/114,827.97 = 21,146.54/x
  3. Step 3: Cross multiply
    76,550.54x = 114,827.97 × 21,146.54
  4. Step 4: Simplify right side
    76,550.54x = 2,428,214,260.72
  5. Step 5: Solve for x
    x = 2,428,214,260.72/76,550.54
  6. Step 6: Final answer
    x = 31,720.41

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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.