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Finding the Fourth Proportional to 201,624.40, 278,223.60 and 116,747.20

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Solution

The fourth proportional to 201,624.40, 278,223.60 and 116,747.20 is: 161,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,624.40 : 278,223.60 = 116,747.20 : x
  2. Step 2: Convert to fraction form
    201,624.40/278,223.60 = 116,747.20/x
  3. Step 3: Cross multiply
    201,624.40x = 278,223.60 × 116,747.20
  4. Step 4: Simplify right side
    201,624.40x = 32,481,826,273.92
  5. Step 5: Solve for x
    x = 32,481,826,273.92/201,624.40
  6. Step 6: Final answer
    x = 161,100.67

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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.