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Finding the Fourth Proportional to 101,213.48, 151,820.74 and 42,049.22

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Solution

The fourth proportional to 101,213.48, 151,820.74 and 42,049.22 is: 63,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,213.48 : 151,820.74 = 42,049.22 : x
  2. Step 2: Convert to fraction form
    101,213.48/151,820.74 = 42,049.22/x
  3. Step 3: Cross multiply
    101,213.48x = 151,820.74 × 42,049.22
  4. Step 4: Simplify right side
    101,213.48x = 6,383,943,696.82
  5. Step 5: Solve for x
    x = 6,383,943,696.82/101,213.48
  6. Step 6: Final answer
    x = 63,074.05

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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.