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Finding the Fourth Proportional to 129,825.66, 194,823.66 and 45,583.64

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Solution

The fourth proportional to 129,825.66, 194,823.66 and 45,583.64 is: 68,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,825.66 : 194,823.66 = 45,583.64 : x
  2. Step 2: Convert to fraction form
    129,825.66/194,823.66 = 45,583.64/x
  3. Step 3: Cross multiply
    129,825.66x = 194,823.66 × 45,583.64
  4. Step 4: Simplify right side
    129,825.66x = 8,880,770,575.78
  5. Step 5: Solve for x
    x = 8,880,770,575.78/129,825.66
  6. Step 6: Final answer
    x = 68,405.36

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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.