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Finding the Fourth Proportional to 189,090.49, 260,944.92 and 103,049.50

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Solution

The fourth proportional to 189,090.49, 260,944.92 and 103,049.50 is: 142,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,090.49 : 260,944.92 = 103,049.50 : x
  2. Step 2: Convert to fraction form
    189,090.49/260,944.92 = 103,049.50/x
  3. Step 3: Cross multiply
    189,090.49x = 260,944.92 × 103,049.50
  4. Step 4: Simplify right side
    189,090.49x = 26,890,243,182.30
  5. Step 5: Solve for x
    x = 26,890,243,182.30/189,090.49
  6. Step 6: Final answer
    x = 142,208.33

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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.