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Finding the Fourth Proportional to 203,857.80, 305,786.70 and 70,693.80

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Solution

The fourth proportional to 203,857.80, 305,786.70 and 70,693.80 is: 106,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,857.80 : 305,786.70 = 70,693.80 : x
  2. Step 2: Convert to fraction form
    203,857.80/305,786.70 = 70,693.80/x
  3. Step 3: Cross multiply
    203,857.80x = 305,786.70 × 70,693.80
  4. Step 4: Simplify right side
    203,857.80x = 21,617,223,812.46
  5. Step 5: Solve for x
    x = 21,617,223,812.46/203,857.80
  6. Step 6: Final answer
    x = 106,040.70

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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.