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Finding the Fourth Proportional to 201,963.52, 302,945.28 and 127,936

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Solution

The fourth proportional to 201,963.52, 302,945.28 and 127,936 is: 191,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,963.52 : 302,945.28 = 127,936 : x
  2. Step 2: Convert to fraction form
    201,963.52/302,945.28 = 127,936/x
  3. Step 3: Cross multiply
    201,963.52x = 302,945.28 × 127,936
  4. Step 4: Simplify right side
    201,963.52x = 38,757,607,342.08
  5. Step 5: Solve for x
    x = 38,757,607,342.08/201,963.52
  6. Step 6: Final answer
    x = 191,904.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.