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Finding the Fourth Proportional to 201,919.38, 278,638.77 and 117,064.02

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Solution

The fourth proportional to 201,919.38, 278,638.77 and 117,064.02 is: 161,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.38 : 278,638.77 = 117,064.02 : x
  2. Step 2: Convert to fraction form
    201,919.38/278,638.77 = 117,064.02/x
  3. Step 3: Cross multiply
    201,919.38x = 278,638.77 × 117,064.02
  4. Step 4: Simplify right side
    201,919.38x = 32,618,574,544.06
  5. Step 5: Solve for x
    x = 32,618,574,544.06/201,919.38
  6. Step 6: Final answer
    x = 161,542.56

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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.