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Finding the Fourth Proportional to 133,806.79, 200,728.54 and 77,673.25

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Solution

The fourth proportional to 133,806.79, 200,728.54 and 77,673.25 is: 116,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,806.79 : 200,728.54 = 77,673.25 : x
  2. Step 2: Convert to fraction form
    133,806.79/200,728.54 = 77,673.25/x
  3. Step 3: Cross multiply
    133,806.79x = 200,728.54 × 77,673.25
  4. Step 4: Simplify right side
    133,806.79x = 15,591,237,065.91
  5. Step 5: Solve for x
    x = 15,591,237,065.91/133,806.79
  6. Step 6: Final answer
    x = 116,520.53

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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.