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Finding the Fourth Proportional to 213,285, 294,333.30 and 123,866.76

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Solution

The fourth proportional to 213,285, 294,333.30 and 123,866.76 is: 170,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,285 : 294,333.30 = 123,866.76 : x
  2. Step 2: Convert to fraction form
    213,285/294,333.30 = 123,866.76/x
  3. Step 3: Cross multiply
    213,285x = 294,333.30 × 123,866.76
  4. Step 4: Simplify right side
    213,285x = 36,458,112,231.11
  5. Step 5: Solve for x
    x = 36,458,112,231.11/213,285
  6. Step 6: Final answer
    x = 170,936.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.