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Finding the Fourth Proportional to 189,449.52, 261,436.36 and 103,405.68

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Solution

The fourth proportional to 189,449.52, 261,436.36 and 103,405.68 is: 142,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,449.52 : 261,436.36 = 103,405.68 : x
  2. Step 2: Convert to fraction form
    189,449.52/261,436.36 = 103,405.68/x
  3. Step 3: Cross multiply
    189,449.52x = 261,436.36 × 103,405.68
  4. Step 4: Simplify right side
    189,449.52x = 27,034,004,582.52
  5. Step 5: Solve for x
    x = 27,034,004,582.52/189,449.52
  6. Step 6: Final answer
    x = 142,697.67

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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.