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Finding the Fourth Proportional to 189,467.21, 283,954.59 and 77,016.42

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Solution

The fourth proportional to 189,467.21, 283,954.59 and 77,016.42 is: 115,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,467.21 : 283,954.59 = 77,016.42 : x
  2. Step 2: Convert to fraction form
    189,467.21/283,954.59 = 77,016.42/x
  3. Step 3: Cross multiply
    189,467.21x = 283,954.59 × 77,016.42
  4. Step 4: Simplify right side
    189,467.21x = 21,869,165,964.37
  5. Step 5: Solve for x
    x = 21,869,165,964.37/189,467.21
  6. Step 6: Final answer
    x = 115,424.55

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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.