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Finding the Fourth Proportional to 86,049.86, 118,745.42 and 47,811.78

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Solution

The fourth proportional to 86,049.86, 118,745.42 and 47,811.78 is: 65,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,049.86 : 118,745.42 = 47,811.78 : x
  2. Step 2: Convert to fraction form
    86,049.86/118,745.42 = 47,811.78/x
  3. Step 3: Cross multiply
    86,049.86x = 118,745.42 × 47,811.78
  4. Step 4: Simplify right side
    86,049.86x = 5,677,429,657.99
  5. Step 5: Solve for x
    x = 5,677,429,657.99/86,049.86
  6. Step 6: Final answer
    x = 65,978.38

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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.