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Finding the Fourth Proportional to 129,784.60, 194,676.90 and 103,540.60

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Solution

The fourth proportional to 129,784.60, 194,676.90 and 103,540.60 is: 155,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,784.60 : 194,676.90 = 103,540.60 : x
  2. Step 2: Convert to fraction form
    129,784.60/194,676.90 = 103,540.60/x
  3. Step 3: Cross multiply
    129,784.60x = 194,676.90 × 103,540.60
  4. Step 4: Simplify right side
    129,784.60x = 20,156,963,032.14
  5. Step 5: Solve for x
    x = 20,156,963,032.14/129,784.60
  6. Step 6: Final answer
    x = 155,310.90

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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.