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Finding the Fourth Proportional to 72,380.78, 108,558.40 and 27,971.02

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Solution

The fourth proportional to 72,380.78, 108,558.40 and 27,971.02 is: 41,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,380.78 : 108,558.40 = 27,971.02 : x
  2. Step 2: Convert to fraction form
    72,380.78/108,558.40 = 27,971.02/x
  3. Step 3: Cross multiply
    72,380.78x = 108,558.40 × 27,971.02
  4. Step 4: Simplify right side
    72,380.78x = 3,036,489,177.57
  5. Step 5: Solve for x
    x = 3,036,489,177.57/72,380.78
  6. Step 6: Final answer
    x = 41,951.60

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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.