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Finding the Fourth Proportional to 129,694.77, 194,495.31 and 54,820.71

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Solution

The fourth proportional to 129,694.77, 194,495.31 and 54,820.71 is: 82,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,694.77 : 194,495.31 = 54,820.71 : x
  2. Step 2: Convert to fraction form
    129,694.77/194,495.31 = 54,820.71/x
  3. Step 3: Cross multiply
    129,694.77x = 194,495.31 × 54,820.71
  4. Step 4: Simplify right side
    129,694.77x = 10,662,370,985.87
  5. Step 5: Solve for x
    x = 10,662,370,985.87/129,694.77
  6. Step 6: Final answer
    x = 82,211.26

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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.