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Finding the Fourth Proportional to 189,860.94, 262,016.30 and 104,978

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Solution

The fourth proportional to 189,860.94, 262,016.30 and 104,978 is: 144,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,860.94 : 262,016.30 = 104,978 : x
  2. Step 2: Convert to fraction form
    189,860.94/262,016.30 = 104,978/x
  3. Step 3: Cross multiply
    189,860.94x = 262,016.30 × 104,978
  4. Step 4: Simplify right side
    189,860.94x = 27,505,947,141.40
  5. Step 5: Solve for x
    x = 27,505,947,141.40/189,860.94
  6. Step 6: Final answer
    x = 144,874.18

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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.