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Finding the Fourth Proportional to 45,031, 67,546.50 and 12,199

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Solution

The fourth proportional to 45,031, 67,546.50 and 12,199 is: 18,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,031 : 67,546.50 = 12,199 : x
  2. Step 2: Convert to fraction form
    45,031/67,546.50 = 12,199/x
  3. Step 3: Cross multiply
    45,031x = 67,546.50 × 12,199
  4. Step 4: Simplify right side
    45,031x = 823,999,753.50
  5. Step 5: Solve for x
    x = 823,999,753.50/45,031
  6. Step 6: Final answer
    x = 18,298.50

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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.