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Finding the Fourth Proportional to 201,142.78, 277,453.92 and 119,415.57

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Solution

The fourth proportional to 201,142.78, 277,453.92 and 119,415.57 is: 164,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.78 : 277,453.92 = 119,415.57 : x
  2. Step 2: Convert to fraction form
    201,142.78/277,453.92 = 119,415.57/x
  3. Step 3: Cross multiply
    201,142.78x = 277,453.92 × 119,415.57
  4. Step 4: Simplify right side
    201,142.78x = 33,132,316,021.19
  5. Step 5: Solve for x
    x = 33,132,316,021.19/201,142.78
  6. Step 6: Final answer
    x = 164,720.38

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1.5x scale

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.