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Finding the Fourth Proportional to 196,372, 294,378.02 and 76,509.82

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Solution

The fourth proportional to 196,372, 294,378.02 and 76,509.82 is: 114,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,372 : 294,378.02 = 76,509.82 : x
  2. Step 2: Convert to fraction form
    196,372/294,378.02 = 76,509.82/x
  3. Step 3: Cross multiply
    196,372x = 294,378.02 × 76,509.82
  4. Step 4: Simplify right side
    196,372x = 22,522,809,322.16
  5. Step 5: Solve for x
    x = 22,522,809,322.16/196,372
  6. Step 6: Final answer
    x = 114,694.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.