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Finding the Fourth Proportional to 201,918.44, 278,659.62 and 111,274.16

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Solution

The fourth proportional to 201,918.44, 278,659.62 and 111,274.16 is: 153,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,918.44 : 278,659.62 = 111,274.16 : x
  2. Step 2: Convert to fraction form
    201,918.44/278,659.62 = 111,274.16/x
  3. Step 3: Cross multiply
    201,918.44x = 278,659.62 × 111,274.16
  4. Step 4: Simplify right side
    201,918.44x = 31,007,615,141.42
  5. Step 5: Solve for x
    x = 31,007,615,141.42/201,918.44
  6. Step 6: Final answer
    x = 153,565.05

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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.