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Finding the Fourth Proportional to 45,051, 67,576.74 and 12,219

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Solution

The fourth proportional to 45,051, 67,576.74 and 12,219 is: 18,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,051 : 67,576.74 = 12,219 : x
  2. Step 2: Convert to fraction form
    45,051/67,576.74 = 12,219/x
  3. Step 3: Cross multiply
    45,051x = 67,576.74 × 12,219
  4. Step 4: Simplify right side
    45,051x = 825,720,186.06
  5. Step 5: Solve for x
    x = 825,720,186.06/45,051
  6. Step 6: Final answer
    x = 18,328.57

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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.