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Finding the Fourth Proportional to 86,049.83, 118,744.62 and 47,811.80

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Solution

The fourth proportional to 86,049.83, 118,744.62 and 47,811.80 is: 65,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,049.83 : 118,744.62 = 47,811.80 : x
  2. Step 2: Convert to fraction form
    86,049.83/118,744.62 = 47,811.80/x
  3. Step 3: Cross multiply
    86,049.83x = 118,744.62 × 47,811.80
  4. Step 4: Simplify right side
    86,049.83x = 5,677,394,022.52
  5. Step 5: Solve for x
    x = 5,677,394,022.52/86,049.83
  6. Step 6: Final answer
    x = 65,977.98

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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.