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Finding the Fourth Proportional to 188,685.73, 282,970.95 and 53,760.79

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Solution

The fourth proportional to 188,685.73, 282,970.95 and 53,760.79 is: 80,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,685.73 : 282,970.95 = 53,760.79 : x
  2. Step 2: Convert to fraction form
    188,685.73/282,970.95 = 53,760.79/x
  3. Step 3: Cross multiply
    188,685.73x = 282,970.95 × 53,760.79
  4. Step 4: Simplify right side
    188,685.73x = 15,212,741,819.05
  5. Step 5: Solve for x
    x = 15,212,741,819.05/188,685.73
  6. Step 6: Final answer
    x = 80,624.76

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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.