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Finding the Fourth Proportional to 189,351.51, 283,944.11 and 70,939.80

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Solution

The fourth proportional to 189,351.51, 283,944.11 and 70,939.80 is: 106,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,351.51 : 283,944.11 = 70,939.80 : x
  2. Step 2: Convert to fraction form
    189,351.51/283,944.11 = 70,939.80/x
  3. Step 3: Cross multiply
    189,351.51x = 283,944.11 × 70,939.80
  4. Step 4: Simplify right side
    189,351.51x = 20,142,938,019.88
  5. Step 5: Solve for x
    x = 20,142,938,019.88/189,351.51
  6. Step 6: Final answer
    x = 106,378.54

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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.