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Finding the Fourth Proportional to 72,180.74, 108,242.43 and 27,782.90

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Solution

The fourth proportional to 72,180.74, 108,242.43 and 27,782.90 is: 41,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,180.74 : 108,242.43 = 27,782.90 : x
  2. Step 2: Convert to fraction form
    72,180.74/108,242.43 = 27,782.90/x
  3. Step 3: Cross multiply
    72,180.74x = 108,242.43 × 27,782.90
  4. Step 4: Simplify right side
    72,180.74x = 3,007,288,608.45
  5. Step 5: Solve for x
    x = 3,007,288,608.45/72,180.74
  6. Step 6: Final answer
    x = 41,663.31

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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.