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Finding the Fourth Proportional to 129,809.58, 194,734.41 and 54,930.34

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Solution

The fourth proportional to 129,809.58, 194,734.41 and 54,930.34 is: 82,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,809.58 : 194,734.41 = 54,930.34 : x
  2. Step 2: Convert to fraction form
    129,809.58/194,734.41 = 54,930.34/x
  3. Step 3: Cross multiply
    129,809.58x = 194,734.41 × 54,930.34
  4. Step 4: Simplify right side
    129,809.58x = 10,696,827,351.00
  5. Step 5: Solve for x
    x = 10,696,827,351.00/129,809.58
  6. Step 6: Final answer
    x = 82,403.99

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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.