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Finding the Fourth Proportional to 203,199.69, 280,412.38 and 111,318.24

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Solution

The fourth proportional to 203,199.69, 280,412.38 and 111,318.24 is: 153,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,199.69 : 280,412.38 = 111,318.24 : x
  2. Step 2: Convert to fraction form
    203,199.69/280,412.38 = 111,318.24/x
  3. Step 3: Cross multiply
    203,199.69x = 280,412.38 × 111,318.24
  4. Step 4: Simplify right side
    203,199.69x = 31,215,012,615.81
  5. Step 5: Solve for x
    x = 31,215,012,615.81/203,199.69
  6. Step 6: Final answer
    x = 153,617.42

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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.