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Finding the Fourth Proportional to 101,171.64, 151,806.06 and 54,418.44

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Solution

The fourth proportional to 101,171.64, 151,806.06 and 54,418.44 is: 81,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,171.64 : 151,806.06 = 54,418.44 : x
  2. Step 2: Convert to fraction form
    101,171.64/151,806.06 = 54,418.44/x
  3. Step 3: Cross multiply
    101,171.64x = 151,806.06 × 54,418.44
  4. Step 4: Simplify right side
    101,171.64x = 8,261,048,967.75
  5. Step 5: Solve for x
    x = 8,261,048,967.75/101,171.64
  6. Step 6: Final answer
    x = 81,653.80

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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.