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Finding the Fourth Proportional to 68,269.76, 102,421.90 and 19,021.76

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Solution

The fourth proportional to 68,269.76, 102,421.90 and 19,021.76 is: 28,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,269.76 : 102,421.90 = 19,021.76 : x
  2. Step 2: Convert to fraction form
    68,269.76/102,421.90 = 19,021.76/x
  3. Step 3: Cross multiply
    68,269.76x = 102,421.90 × 19,021.76
  4. Step 4: Simplify right side
    68,269.76x = 1,948,244,800.54
  5. Step 5: Solve for x
    x = 1,948,244,800.54/68,269.76
  6. Step 6: Final answer
    x = 28,537.45

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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.