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Finding the Fourth Proportional to 189,421.60, 283,786.80 and 154,170.40

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Solution

The fourth proportional to 189,421.60, 283,786.80 and 154,170.40 is: 230,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,421.60 : 283,786.80 = 154,170.40 : x
  2. Step 2: Convert to fraction form
    189,421.60/283,786.80 = 154,170.40/x
  3. Step 3: Cross multiply
    189,421.60x = 283,786.80 × 154,170.40
  4. Step 4: Simplify right side
    189,421.60x = 43,751,524,470.72
  5. Step 5: Solve for x
    x = 43,751,524,470.72/189,421.60
  6. Step 6: Final answer
    x = 230,974.32

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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.