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Finding the Fourth Proportional to 101,173.14, 151,808.31 and 54,419.94

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Solution

The fourth proportional to 101,173.14, 151,808.31 and 54,419.94 is: 81,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,173.14 : 151,808.31 = 54,419.94 : x
  2. Step 2: Convert to fraction form
    101,173.14/151,808.31 = 54,419.94/x
  3. Step 3: Cross multiply
    101,173.14x = 151,808.31 × 54,419.94
  4. Step 4: Simplify right side
    101,173.14x = 8,261,399,121.70
  5. Step 5: Solve for x
    x = 8,261,399,121.70/101,173.14
  6. Step 6: Final answer
    x = 81,656.05

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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.