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Finding the Fourth Proportional to 78,986.26, 109,000.92 and 47,173.78

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Solution

The fourth proportional to 78,986.26, 109,000.92 and 47,173.78 is: 65,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,986.26 : 109,000.92 = 47,173.78 : x
  2. Step 2: Convert to fraction form
    78,986.26/109,000.92 = 47,173.78/x
  3. Step 3: Cross multiply
    78,986.26x = 109,000.92 × 47,173.78
  4. Step 4: Simplify right side
    78,986.26x = 5,141,985,419.88
  5. Step 5: Solve for x
    x = 5,141,985,419.88/78,986.26
  6. Step 6: Final answer
    x = 65,099.75

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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.