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Finding the Fourth Proportional to 201,874.60, 302,811.90 and 89,511.40

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Solution

The fourth proportional to 201,874.60, 302,811.90 and 89,511.40 is: 134,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.60 : 302,811.90 = 89,511.40 : x
  2. Step 2: Convert to fraction form
    201,874.60/302,811.90 = 89,511.40/x
  3. Step 3: Cross multiply
    201,874.60x = 302,811.90 × 89,511.40
  4. Step 4: Simplify right side
    201,874.60x = 27,105,117,105.66
  5. Step 5: Solve for x
    x = 27,105,117,105.66/201,874.60
  6. Step 6: Final answer
    x = 134,267.10

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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.