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Finding the Fourth Proportional to 68,319.78, 102,492 and 30,897.44

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Solution

The fourth proportional to 68,319.78, 102,492 and 30,897.44 is: 46,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,319.78 : 102,492 = 30,897.44 : x
  2. Step 2: Convert to fraction form
    68,319.78/102,492 = 30,897.44/x
  3. Step 3: Cross multiply
    68,319.78x = 102,492 × 30,897.44
  4. Step 4: Simplify right side
    68,319.78x = 3,166,740,420.48
  5. Step 5: Solve for x
    x = 3,166,740,420.48/68,319.78
  6. Step 6: Final answer
    x = 46,351.74

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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.