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Finding the Fourth Proportional to 189,039, 260,871.03 and 108,464.76

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Solution

The fourth proportional to 189,039, 260,871.03 and 108,464.76 is: 149,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,039 : 260,871.03 = 108,464.76 : x
  2. Step 2: Convert to fraction form
    189,039/260,871.03 = 108,464.76/x
  3. Step 3: Cross multiply
    189,039x = 260,871.03 × 108,464.76
  4. Step 4: Simplify right side
    189,039x = 28,295,313,659.90
  5. Step 5: Solve for x
    x = 28,295,313,659.90/189,039
  6. Step 6: Final answer
    x = 149,679.77

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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.