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Finding the Fourth Proportional to 199,468.46, 299,137.62 and 66,312.96

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Solution

The fourth proportional to 199,468.46, 299,137.62 and 66,312.96 is: 99,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,468.46 : 299,137.62 = 66,312.96 : x
  2. Step 2: Convert to fraction form
    199,468.46/299,137.62 = 66,312.96/x
  3. Step 3: Cross multiply
    199,468.46x = 299,137.62 × 66,312.96
  4. Step 4: Simplify right side
    199,468.46x = 19,836,701,029.56
  5. Step 5: Solve for x
    x = 19,836,701,029.56/199,468.46
  6. Step 6: Final answer
    x = 99,447.81

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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.