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Finding the Fourth Proportional to 68,270.76, 102,423.40 and 19,022.76

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Solution

The fourth proportional to 68,270.76, 102,423.40 and 19,022.76 is: 28,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,270.76 : 102,423.40 = 19,022.76 : x
  2. Step 2: Convert to fraction form
    68,270.76/102,423.40 = 19,022.76/x
  3. Step 3: Cross multiply
    68,270.76x = 102,423.40 × 19,022.76
  4. Step 4: Simplify right side
    68,270.76x = 1,948,375,756.58
  5. Step 5: Solve for x
    x = 1,948,375,756.58/68,270.76
  6. Step 6: Final answer
    x = 28,538.95

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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.