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Finding the Fourth Proportional to 45,343, 68,018.42 and 12,511

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Solution

The fourth proportional to 45,343, 68,018.42 and 12,511 is: 18,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,343 : 68,018.42 = 12,511 : x
  2. Step 2: Convert to fraction form
    45,343/68,018.42 = 12,511/x
  3. Step 3: Cross multiply
    45,343x = 68,018.42 × 12,511
  4. Step 4: Simplify right side
    45,343x = 850,978,452.62
  5. Step 5: Solve for x
    x = 850,978,452.62/45,343
  6. Step 6: Final answer
    x = 18,767.58

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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.