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Finding the Fourth Proportional to 188,539.54, 282,809.30 and 55,420.95

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Solution

The fourth proportional to 188,539.54, 282,809.30 and 55,420.95 is: 83,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,539.54 : 282,809.30 = 55,420.95 : x
  2. Step 2: Convert to fraction form
    188,539.54/282,809.30 = 55,420.95/x
  3. Step 3: Cross multiply
    188,539.54x = 282,809.30 × 55,420.95
  4. Step 4: Simplify right side
    188,539.54x = 15,673,560,074.84
  5. Step 5: Solve for x
    x = 15,673,560,074.84/188,539.54
  6. Step 6: Final answer
    x = 83,131.42

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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.