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Finding the Fourth Proportional to 213,232.50, 294,286.77 and 123,808.50

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Solution

The fourth proportional to 213,232.50, 294,286.77 and 123,808.50 is: 170,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,232.50 : 294,286.77 = 123,808.50 : x
  2. Step 2: Convert to fraction form
    213,232.50/294,286.77 = 123,808.50/x
  3. Step 3: Cross multiply
    213,232.50x = 294,286.77 × 123,808.50
  4. Step 4: Simplify right side
    213,232.50x = 36,435,203,563.55
  5. Step 5: Solve for x
    x = 36,435,203,563.55/213,232.50
  6. Step 6: Final answer
    x = 170,870.78

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Why These Related Problems?

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