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Finding the Fourth Proportional to 199,638, 275,469.12 and 114,739.20

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Solution

The fourth proportional to 199,638, 275,469.12 and 114,739.20 is: 158,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,638 : 275,469.12 = 114,739.20 : x
  2. Step 2: Convert to fraction form
    199,638/275,469.12 = 114,739.20/x
  3. Step 3: Cross multiply
    199,638x = 275,469.12 × 114,739.20
  4. Step 4: Simplify right side
    199,638x = 31,607,106,453.50
  5. Step 5: Solve for x
    x = 31,607,106,453.50/199,638
  6. Step 6: Final answer
    x = 158,322.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.