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Finding the Fourth Proportional to 201,287.34, 277,791.02 and 120,713.40

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Solution

The fourth proportional to 201,287.34, 277,791.02 and 120,713.40 is: 166,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,287.34 : 277,791.02 = 120,713.40 : x
  2. Step 2: Convert to fraction form
    201,287.34/277,791.02 = 120,713.40/x
  3. Step 3: Cross multiply
    201,287.34x = 277,791.02 × 120,713.40
  4. Step 4: Simplify right side
    201,287.34x = 33,533,098,513.67
  5. Step 5: Solve for x
    x = 33,533,098,513.67/201,287.34
  6. Step 6: Final answer
    x = 166,593.18

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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.