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Finding the Fourth Proportional to 129,880.56, 194,820.84 and 106,260.96

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Solution

The fourth proportional to 129,880.56, 194,820.84 and 106,260.96 is: 159,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,880.56 : 194,820.84 = 106,260.96 : x
  2. Step 2: Convert to fraction form
    129,880.56/194,820.84 = 106,260.96/x
  3. Step 3: Cross multiply
    129,880.56x = 194,820.84 × 106,260.96
  4. Step 4: Simplify right side
    129,880.56x = 20,701,849,486.41
  5. Step 5: Solve for x
    x = 20,701,849,486.41/129,880.56
  6. Step 6: Final answer
    x = 159,391.44

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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.