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Finding the Fourth Proportional to 201,830.09, 278,808.81 and 191,201.27

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Solution

The fourth proportional to 201,830.09, 278,808.81 and 191,201.27 is: 264,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830.09 : 278,808.81 = 191,201.27 : x
  2. Step 2: Convert to fraction form
    201,830.09/278,808.81 = 191,201.27/x
  3. Step 3: Cross multiply
    201,830.09x = 278,808.81 × 191,201.27
  4. Step 4: Simplify right side
    201,830.09x = 53,308,597,165.14
  5. Step 5: Solve for x
    x = 53,308,597,165.14/201,830.09
  6. Step 6: Final answer
    x = 264,126.12

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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.