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Finding the Fourth Proportional to 68,431.37, 102,647.52 and 21,045.96

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Solution

The fourth proportional to 68,431.37, 102,647.52 and 21,045.96 is: 31,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,431.37 : 102,647.52 = 21,045.96 : x
  2. Step 2: Convert to fraction form
    68,431.37/102,647.52 = 21,045.96/x
  3. Step 3: Cross multiply
    68,431.37x = 102,647.52 × 21,045.96
  4. Step 4: Simplify right side
    68,431.37x = 2,160,315,600.02
  5. Step 5: Solve for x
    x = 2,160,315,600.02/68,431.37
  6. Step 6: Final answer
    x = 31,569.09

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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.