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Finding the Fourth Proportional to 201,920.44, 278,662.38 and 111,276.16

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Solution

The fourth proportional to 201,920.44, 278,662.38 and 111,276.16 is: 153,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.44 : 278,662.38 = 111,276.16 : x
  2. Step 2: Convert to fraction form
    201,920.44/278,662.38 = 111,276.16/x
  3. Step 3: Cross multiply
    201,920.44x = 278,662.38 × 111,276.16
  4. Step 4: Simplify right side
    201,920.44x = 31,008,479,582.86
  5. Step 5: Solve for x
    x = 31,008,479,582.86/201,920.44
  6. Step 6: Final answer
    x = 153,567.81

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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.