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Finding the Fourth Proportional to 57,677.07, 86,506.97 and 47,879.31

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Solution

The fourth proportional to 57,677.07, 86,506.97 and 47,879.31 is: 71,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,677.07 : 86,506.97 = 47,879.31 : x
  2. Step 2: Convert to fraction form
    57,677.07/86,506.97 = 47,879.31/x
  3. Step 3: Cross multiply
    57,677.07x = 86,506.97 × 47,879.31
  4. Step 4: Simplify right side
    57,677.07x = 4,141,893,794.39
  5. Step 5: Solve for x
    x = 4,141,893,794.39/57,677.07
  6. Step 6: Final answer
    x = 71,811.79

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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.