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Finding the Fourth Proportional to 129,893.58, 194,694.64 and 85,001.31

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Solution

The fourth proportional to 129,893.58, 194,694.64 and 85,001.31 is: 127,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,893.58 : 194,694.64 = 85,001.31 : x
  2. Step 2: Convert to fraction form
    129,893.58/194,694.64 = 85,001.31/x
  3. Step 3: Cross multiply
    129,893.58x = 194,694.64 × 85,001.31
  4. Step 4: Simplify right side
    129,893.58x = 16,549,299,237.48
  5. Step 5: Solve for x
    x = 16,549,299,237.48/129,893.58
  6. Step 6: Final answer
    x = 127,406.60

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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.