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Finding the Fourth Proportional to 129,647.84, 194,393.98 and 50,668

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Solution

The fourth proportional to 129,647.84, 194,393.98 and 50,668 is: 75,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,647.84 : 194,393.98 = 50,668 : x
  2. Step 2: Convert to fraction form
    129,647.84/194,393.98 = 50,668/x
  3. Step 3: Cross multiply
    129,647.84x = 194,393.98 × 50,668
  4. Step 4: Simplify right side
    129,647.84x = 9,849,554,178.64
  5. Step 5: Solve for x
    x = 9,849,554,178.64/129,647.84
  6. Step 6: Final answer
    x = 75,971.60

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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.