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Finding the Fourth Proportional to 189,027.68, 260,857.38 and 102,986.40

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Solution

The fourth proportional to 189,027.68, 260,857.38 and 102,986.40 is: 142,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,027.68 : 260,857.38 = 102,986.40 : x
  2. Step 2: Convert to fraction form
    189,027.68/260,857.38 = 102,986.40/x
  3. Step 3: Cross multiply
    189,027.68x = 260,857.38 × 102,986.40
  4. Step 4: Simplify right side
    189,027.68x = 26,864,762,479.63
  5. Step 5: Solve for x
    x = 26,864,762,479.63/189,027.68
  6. Step 6: Final answer
    x = 142,120.79

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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.