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Finding the Fourth Proportional to 129,670.70, 194,651.85 and 100,219.10

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Solution

The fourth proportional to 129,670.70, 194,651.85 and 100,219.10 is: 150,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,670.70 : 194,651.85 = 100,219.10 : x
  2. Step 2: Convert to fraction form
    129,670.70/194,651.85 = 100,219.10/x
  3. Step 3: Cross multiply
    129,670.70x = 194,651.85 × 100,219.10
  4. Step 4: Simplify right side
    129,670.70x = 19,507,833,220.34
  5. Step 5: Solve for x
    x = 19,507,833,220.34/129,670.70
  6. Step 6: Final answer
    x = 150,441.34

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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.