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Finding the Fourth Proportional to 201,584.36, 278,186.47 and 110,940.30

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Solution

The fourth proportional to 201,584.36, 278,186.47 and 110,940.30 is: 153,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,584.36 : 278,186.47 = 110,940.30 : x
  2. Step 2: Convert to fraction form
    201,584.36/278,186.47 = 110,940.30/x
  3. Step 3: Cross multiply
    201,584.36x = 278,186.47 × 110,940.30
  4. Step 4: Simplify right side
    201,584.36x = 30,862,090,160.39
  5. Step 5: Solve for x
    x = 30,862,090,160.39/201,584.36
  6. Step 6: Final answer
    x = 153,097.64

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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.