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Finding the Fourth Proportional to 189,091.68, 283,370.16 and 104,889

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Solution

The fourth proportional to 189,091.68, 283,370.16 and 104,889 is: 157,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,091.68 : 283,370.16 = 104,889 : x
  2. Step 2: Convert to fraction form
    189,091.68/283,370.16 = 104,889/x
  3. Step 3: Cross multiply
    189,091.68x = 283,370.16 × 104,889
  4. Step 4: Simplify right side
    189,091.68x = 29,722,412,712.24
  5. Step 5: Solve for x
    x = 29,722,412,712.24/189,091.68
  6. Step 6: Final answer
    x = 157,185.20

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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.