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Finding the Fourth Proportional to 129,930.63, 194,914.40 and 39,980.80

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Solution

The fourth proportional to 129,930.63, 194,914.40 and 39,980.80 is: 59,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,930.63 : 194,914.40 = 39,980.80 : x
  2. Step 2: Convert to fraction form
    129,930.63/194,914.40 = 39,980.80/x
  3. Step 3: Cross multiply
    129,930.63x = 194,914.40 × 39,980.80
  4. Step 4: Simplify right side
    129,930.63x = 7,792,833,987.12
  5. Step 5: Solve for x
    x = 7,792,833,987.12/129,930.63
  6. Step 6: Final answer
    x = 59,976.88

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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.