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Finding the Fourth Proportional to 189,071.75, 260,906.74 and 104,188.82

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Solution

The fourth proportional to 189,071.75, 260,906.74 and 104,188.82 is: 143,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,071.75 : 260,906.74 = 104,188.82 : x
  2. Step 2: Convert to fraction form
    189,071.75/260,906.74 = 104,188.82/x
  3. Step 3: Cross multiply
    189,071.75x = 260,906.74 × 104,188.82
  4. Step 4: Simplify right side
    189,071.75x = 27,183,563,805.64
  5. Step 5: Solve for x
    x = 27,183,563,805.64/189,071.75
  6. Step 6: Final answer
    x = 143,773.80

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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.