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Finding the Fourth Proportional to 203,084.99, 304,720.81 and 76,769.10

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Solution

The fourth proportional to 203,084.99, 304,720.81 and 76,769.10 is: 115,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,084.99 : 304,720.81 = 76,769.10 : x
  2. Step 2: Convert to fraction form
    203,084.99/304,720.81 = 76,769.10/x
  3. Step 3: Cross multiply
    203,084.99x = 304,720.81 × 76,769.10
  4. Step 4: Simplify right side
    203,084.99x = 23,393,142,334.97
  5. Step 5: Solve for x
    x = 23,393,142,334.97/203,084.99
  6. Step 6: Final answer
    x = 115,188.93

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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.