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Finding the Fourth Proportional to 101,316, 151,993.44 and 45,912

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Solution

The fourth proportional to 101,316, 151,993.44 and 45,912 is: 68,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,316 : 151,993.44 = 45,912 : x
  2. Step 2: Convert to fraction form
    101,316/151,993.44 = 45,912/x
  3. Step 3: Cross multiply
    101,316x = 151,993.44 × 45,912
  4. Step 4: Simplify right side
    101,316x = 6,978,322,817.28
  5. Step 5: Solve for x
    x = 6,978,322,817.28/101,316
  6. Step 6: Final answer
    x = 68,876.81

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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.