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Finding the Fourth Proportional to 101,114.05, 151,671.08 and 81,431.05

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Solution

The fourth proportional to 101,114.05, 151,671.08 and 81,431.05 is: 122,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,114.05 : 151,671.08 = 81,431.05 : x
  2. Step 2: Convert to fraction form
    101,114.05/151,671.08 = 81,431.05/x
  3. Step 3: Cross multiply
    101,114.05x = 151,671.08 × 81,431.05
  4. Step 4: Simplify right side
    101,114.05x = 12,350,734,891.88
  5. Step 5: Solve for x
    x = 12,350,734,891.88/101,114.05
  6. Step 6: Final answer
    x = 122,146.58

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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.