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Finding the Fourth Proportional to 189,071.64, 260,917.44 and 104,188.70

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Solution

The fourth proportional to 189,071.64, 260,917.44 and 104,188.70 is: 143,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,071.64 : 260,917.44 = 104,188.70 : x
  2. Step 2: Convert to fraction form
    189,071.64/260,917.44 = 104,188.70/x
  3. Step 3: Cross multiply
    189,071.64x = 260,917.44 × 104,188.70
  4. Step 4: Simplify right side
    189,071.64x = 27,184,647,576.34
  5. Step 5: Solve for x
    x = 27,184,647,576.34/189,071.64
  6. Step 6: Final answer
    x = 143,779.61

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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.