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Finding the Fourth Proportional to 123,884.80, 185,770.40 and 39,628.56

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Solution

The fourth proportional to 123,884.80, 185,770.40 and 39,628.56 is: 59,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,884.80 : 185,770.40 = 39,628.56 : x
  2. Step 2: Convert to fraction form
    123,884.80/185,770.40 = 39,628.56/x
  3. Step 3: Cross multiply
    123,884.80x = 185,770.40 × 39,628.56
  4. Step 4: Simplify right side
    123,884.80x = 7,361,813,442.62
  5. Step 5: Solve for x
    x = 7,361,813,442.62/123,884.80
  6. Step 6: Final answer
    x = 59,424.67

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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.