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Finding the Fourth Proportional to 201,832, 278,536.80 and 112,408

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Solution

The fourth proportional to 201,832, 278,536.80 and 112,408 is: 155,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832 : 278,536.80 = 112,408 : x
  2. Step 2: Convert to fraction form
    201,832/278,536.80 = 112,408/x
  3. Step 3: Cross multiply
    201,832x = 278,536.80 × 112,408
  4. Step 4: Simplify right side
    201,832x = 31,309,764,614.40
  5. Step 5: Solve for x
    x = 31,309,764,614.40/201,832
  6. Step 6: Final answer
    x = 155,127.85

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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.