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Finding the Fourth Proportional to 228,619.92, 315,469.44 and 133,106.40

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Solution

The fourth proportional to 228,619.92, 315,469.44 and 133,106.40 is: 183,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,619.92 : 315,469.44 = 133,106.40 : x
  2. Step 2: Convert to fraction form
    228,619.92/315,469.44 = 133,106.40/x
  3. Step 3: Cross multiply
    228,619.92x = 315,469.44 × 133,106.40
  4. Step 4: Simplify right side
    228,619.92x = 41,991,001,468.42
  5. Step 5: Solve for x
    x = 41,991,001,468.42/228,619.92
  6. Step 6: Final answer
    x = 183,671.67

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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.