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Finding the Fourth Proportional to 181,102.80, 271,653.96 and 68,782.80

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Solution

The fourth proportional to 181,102.80, 271,653.96 and 68,782.80 is: 103,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,102.80 : 271,653.96 = 68,782.80 : x
  2. Step 2: Convert to fraction form
    181,102.80/271,653.96 = 68,782.80/x
  3. Step 3: Cross multiply
    181,102.80x = 271,653.96 × 68,782.80
  4. Step 4: Simplify right side
    181,102.80x = 18,685,119,999.89
  5. Step 5: Solve for x
    x = 18,685,119,999.89/181,102.80
  6. Step 6: Final answer
    x = 103,174.11

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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.