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Finding the Fourth Proportional to 201,143.70, 301,885.65 and 82,899.90

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Solution

The fourth proportional to 201,143.70, 301,885.65 and 82,899.90 is: 124,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,143.70 : 301,885.65 = 82,899.90 : x
  2. Step 2: Convert to fraction form
    201,143.70/301,885.65 = 82,899.90/x
  3. Step 3: Cross multiply
    201,143.70x = 301,885.65 × 82,899.90
  4. Step 4: Simplify right side
    201,143.70x = 25,026,290,196.44
  5. Step 5: Solve for x
    x = 25,026,290,196.44/201,143.70
  6. Step 6: Final answer
    x = 124,419.96

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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.