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Finding the Fourth Proportional to 68,463.56, 102,708.30 and 31,527.56

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Solution

The fourth proportional to 68,463.56, 102,708.30 and 31,527.56 is: 47,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,463.56 : 102,708.30 = 31,527.56 : x
  2. Step 2: Convert to fraction form
    68,463.56/102,708.30 = 31,527.56/x
  3. Step 3: Cross multiply
    68,463.56x = 102,708.30 × 31,527.56
  4. Step 4: Simplify right side
    68,463.56x = 3,238,142,465.75
  5. Step 5: Solve for x
    x = 3,238,142,465.75/68,463.56
  6. Step 6: Final answer
    x = 47,297.31

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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.