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Finding the Fourth Proportional to 68,287.86, 102,428.14 and 20,902.98

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Solution

The fourth proportional to 68,287.86, 102,428.14 and 20,902.98 is: 31,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,287.86 : 102,428.14 = 20,902.98 : x
  2. Step 2: Convert to fraction form
    68,287.86/102,428.14 = 20,902.98/x
  3. Step 3: Cross multiply
    68,287.86x = 102,428.14 × 20,902.98
  4. Step 4: Simplify right side
    68,287.86x = 2,141,053,105.79
  5. Step 5: Solve for x
    x = 2,141,053,105.79/68,287.86
  6. Step 6: Final answer
    x = 31,353.35

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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.