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Finding the Fourth Proportional to 189,246, 283,869 and 106,146.48

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Solution

The fourth proportional to 189,246, 283,869 and 106,146.48 is: 159,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,246 : 283,869 = 106,146.48 : x
  2. Step 2: Convert to fraction form
    189,246/283,869 = 106,146.48/x
  3. Step 3: Cross multiply
    189,246x = 283,869 × 106,146.48
  4. Step 4: Simplify right side
    189,246x = 30,131,695,131.12
  5. Step 5: Solve for x
    x = 30,131,695,131.12/189,246
  6. Step 6: Final answer
    x = 159,219.72

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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.