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Finding the Fourth Proportional to 68,576.90, 102,828.36 and 31,116.54

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Solution

The fourth proportional to 68,576.90, 102,828.36 and 31,116.54 is: 46,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,576.90 : 102,828.36 = 31,116.54 : x
  2. Step 2: Convert to fraction form
    68,576.90/102,828.36 = 31,116.54/x
  3. Step 3: Cross multiply
    68,576.90x = 102,828.36 × 31,116.54
  4. Step 4: Simplify right side
    68,576.90x = 3,199,662,777.07
  5. Step 5: Solve for x
    x = 3,199,662,777.07/68,576.90
  6. Step 6: Final answer
    x = 46,658.03

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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.