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Finding the Fourth Proportional to 201,930.34, 278,665.78 and 111,289.58

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Solution

The fourth proportional to 201,930.34, 278,665.78 and 111,289.58 is: 153,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930.34 : 278,665.78 = 111,289.58 : x
  2. Step 2: Convert to fraction form
    201,930.34/278,665.78 = 111,289.58/x
  3. Step 3: Cross multiply
    201,930.34x = 278,665.78 × 111,289.58
  4. Step 4: Simplify right side
    201,930.34x = 31,012,597,616.57
  5. Step 5: Solve for x
    x = 31,012,597,616.57/201,930.34
  6. Step 6: Final answer
    x = 153,580.67

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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.