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Finding the Fourth Proportional to 201,930.52, 302,874.72 and 89,612.68

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Solution

The fourth proportional to 201,930.52, 302,874.72 and 89,612.68 is: 134,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930.52 : 302,874.72 = 89,612.68 : x
  2. Step 2: Convert to fraction form
    201,930.52/302,874.72 = 89,612.68/x
  3. Step 3: Cross multiply
    201,930.52x = 302,874.72 × 89,612.68
  4. Step 4: Simplify right side
    201,930.52x = 27,141,415,363.45
  5. Step 5: Solve for x
    x = 27,141,415,363.45/201,930.52
  6. Step 6: Final answer
    x = 134,409.67

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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.