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Finding the Fourth Proportional to 145,628.85, 218,474.46 and 82,478.82

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Solution

The fourth proportional to 145,628.85, 218,474.46 and 82,478.82 is: 123,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,628.85 : 218,474.46 = 82,478.82 : x
  2. Step 2: Convert to fraction form
    145,628.85/218,474.46 = 82,478.82/x
  3. Step 3: Cross multiply
    145,628.85x = 218,474.46 × 82,478.82
  4. Step 4: Simplify right side
    145,628.85x = 18,019,515,660.94
  5. Step 5: Solve for x
    x = 18,019,515,660.94/145,628.85
  6. Step 6: Final answer
    x = 123,735.89

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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.