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Finding the Fourth Proportional to 68,464.56, 102,709.80 and 31,528.56

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Solution

The fourth proportional to 68,464.56, 102,709.80 and 31,528.56 is: 47,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,464.56 : 102,709.80 = 31,528.56 : x
  2. Step 2: Convert to fraction form
    68,464.56/102,709.80 = 31,528.56/x
  3. Step 3: Cross multiply
    68,464.56x = 102,709.80 × 31,528.56
  4. Step 4: Simplify right side
    68,464.56x = 3,238,292,091.89
  5. Step 5: Solve for x
    x = 3,238,292,091.89/68,464.56
  6. Step 6: Final answer
    x = 47,298.81

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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.