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Finding the Fourth Proportional to 201,672.10, 302,508.15 and 191,830.60

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Solution

The fourth proportional to 201,672.10, 302,508.15 and 191,830.60 is: 287,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,672.10 : 302,508.15 = 191,830.60 : x
  2. Step 2: Convert to fraction form
    201,672.10/302,508.15 = 191,830.60/x
  3. Step 3: Cross multiply
    201,672.10x = 302,508.15 × 191,830.60
  4. Step 4: Simplify right side
    201,672.10x = 58,030,319,919.39
  5. Step 5: Solve for x
    x = 58,030,319,919.39/201,672.10
  6. Step 6: Final answer
    x = 287,745.90

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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.