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Finding the Fourth Proportional to 68,214.73, 102,325.89 and 20,837.02

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Solution

The fourth proportional to 68,214.73, 102,325.89 and 20,837.02 is: 31,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,214.73 : 102,325.89 = 20,837.02 : x
  2. Step 2: Convert to fraction form
    68,214.73/102,325.89 = 20,837.02/x
  3. Step 3: Cross multiply
    68,214.73x = 102,325.89 × 20,837.02
  4. Step 4: Simplify right side
    68,214.73x = 2,132,166,616.45
  5. Step 5: Solve for x
    x = 2,132,166,616.45/68,214.73
  6. Step 6: Final answer
    x = 31,256.69

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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.