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Finding the Fourth Proportional to 201,717.60, 278,372.36 and 111,082

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Solution

The fourth proportional to 201,717.60, 278,372.36 and 111,082 is: 153,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,717.60 : 278,372.36 = 111,082 : x
  2. Step 2: Convert to fraction form
    201,717.60/278,372.36 = 111,082/x
  3. Step 3: Cross multiply
    201,717.60x = 278,372.36 × 111,082
  4. Step 4: Simplify right side
    201,717.60x = 30,922,158,493.52
  5. Step 5: Solve for x
    x = 30,922,158,493.52/201,717.60
  6. Step 6: Final answer
    x = 153,294.30

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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.