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Finding the Fourth Proportional to 205,940.80, 308,392.80 and 135,438.40

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Solution

The fourth proportional to 205,940.80, 308,392.80 and 135,438.40 is: 202,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,940.80 : 308,392.80 = 135,438.40 : x
  2. Step 2: Convert to fraction form
    205,940.80/308,392.80 = 135,438.40/x
  3. Step 3: Cross multiply
    205,940.80x = 308,392.80 × 135,438.40
  4. Step 4: Simplify right side
    205,940.80x = 41,768,227,403.52
  5. Step 5: Solve for x
    x = 41,768,227,403.52/205,940.80
  6. Step 6: Final answer
    x = 202,816.67

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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.