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Finding the Fourth Proportional to 189,090.21, 260,944.56 and 103,049.22

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Solution

The fourth proportional to 189,090.21, 260,944.56 and 103,049.22 is: 142,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,090.21 : 260,944.56 = 103,049.22 : x
  2. Step 2: Convert to fraction form
    189,090.21/260,944.56 = 103,049.22/x
  3. Step 3: Cross multiply
    189,090.21x = 260,944.56 × 103,049.22
  4. Step 4: Simplify right side
    189,090.21x = 26,890,133,371.24
  5. Step 5: Solve for x
    x = 26,890,133,371.24/189,090.21
  6. Step 6: Final answer
    x = 142,207.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.