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Finding the Fourth Proportional to 101,219.31, 151,921.10 and 53,874.15

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Solution

The fourth proportional to 101,219.31, 151,921.10 and 53,874.15 is: 80,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,219.31 : 151,921.10 = 53,874.15 : x
  2. Step 2: Convert to fraction form
    101,219.31/151,921.10 = 53,874.15/x
  3. Step 3: Cross multiply
    101,219.31x = 151,921.10 × 53,874.15
  4. Step 4: Simplify right side
    101,219.31x = 8,184,620,129.57
  5. Step 5: Solve for x
    x = 8,184,620,129.57/101,219.31
  6. Step 6: Final answer
    x = 80,860.26

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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.