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Finding the Fourth Proportional to 166,782.78, 250,098.44 and 71,968.03

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Solution

The fourth proportional to 166,782.78, 250,098.44 and 71,968.03 is: 107,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,782.78 : 250,098.44 = 71,968.03 : x
  2. Step 2: Convert to fraction form
    166,782.78/250,098.44 = 71,968.03/x
  3. Step 3: Cross multiply
    166,782.78x = 250,098.44 × 71,968.03
  4. Step 4: Simplify right side
    166,782.78x = 17,999,091,047.79
  5. Step 5: Solve for x
    x = 17,999,091,047.79/166,782.78
  6. Step 6: Final answer
    x = 107,919.36

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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.