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Finding the Fourth Proportional to 89,342.80, 134,028.80 and 30,182

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Solution

The fourth proportional to 89,342.80, 134,028.80 and 30,182 is: 45,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,342.80 : 134,028.80 = 30,182 : x
  2. Step 2: Convert to fraction form
    89,342.80/134,028.80 = 30,182/x
  3. Step 3: Cross multiply
    89,342.80x = 134,028.80 × 30,182
  4. Step 4: Simplify right side
    89,342.80x = 4,045,257,241.60
  5. Step 5: Solve for x
    x = 4,045,257,241.60/89,342.80
  6. Step 6: Final answer
    x = 45,277.93

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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.