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Finding the Fourth Proportional to 78,871.36, 118,173.42 and 47,641

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Solution

The fourth proportional to 78,871.36, 118,173.42 and 47,641 is: 71,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,871.36 : 118,173.42 = 47,641 : x
  2. Step 2: Convert to fraction form
    78,871.36/118,173.42 = 47,641/x
  3. Step 3: Cross multiply
    78,871.36x = 118,173.42 × 47,641
  4. Step 4: Simplify right side
    78,871.36x = 5,629,899,902.22
  5. Step 5: Solve for x
    x = 5,629,899,902.22/78,871.36
  6. Step 6: Final answer
    x = 71,380.79

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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.