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Finding the Fourth Proportional to 203,019.78, 280,162.89 and 111,138.84

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Solution

The fourth proportional to 203,019.78, 280,162.89 and 111,138.84 is: 153,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,019.78 : 280,162.89 = 111,138.84 : x
  2. Step 2: Convert to fraction form
    203,019.78/280,162.89 = 111,138.84/x
  3. Step 3: Cross multiply
    203,019.78x = 280,162.89 × 111,138.84
  4. Step 4: Simplify right side
    203,019.78x = 31,136,978,605.65
  5. Step 5: Solve for x
    x = 31,136,978,605.65/203,019.78
  6. Step 6: Final answer
    x = 153,369.19

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1.5x scale

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.