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Finding the Fourth Proportional to 189,293.94, 283,922.01 and 76,980.78

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Solution

The fourth proportional to 189,293.94, 283,922.01 and 76,980.78 is: 115,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,293.94 : 283,922.01 = 76,980.78 : x
  2. Step 2: Convert to fraction form
    189,293.94/283,922.01 = 76,980.78/x
  3. Step 3: Cross multiply
    189,293.94x = 283,922.01 × 76,980.78
  4. Step 4: Simplify right side
    189,293.94x = 21,856,537,788.97
  5. Step 5: Solve for x
    x = 21,856,537,788.97/189,293.94
  6. Step 6: Final answer
    x = 115,463.48

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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.