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Finding the Fourth Proportional to 68,094.89, 102,143.05 and 20,717.70

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Solution

The fourth proportional to 68,094.89, 102,143.05 and 20,717.70 is: 31,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,094.89 : 102,143.05 = 20,717.70 : x
  2. Step 2: Convert to fraction form
    68,094.89/102,143.05 = 20,717.70/x
  3. Step 3: Cross multiply
    68,094.89x = 102,143.05 × 20,717.70
  4. Step 4: Simplify right side
    68,094.89x = 2,116,169,066.99
  5. Step 5: Solve for x
    x = 2,116,169,066.99/68,094.89
  6. Step 6: Final answer
    x = 31,076.77

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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.