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Finding the Fourth Proportional to 129,527.70, 194,109.30 and 102,919.20

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Solution

The fourth proportional to 129,527.70, 194,109.30 and 102,919.20 is: 154,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,527.70 : 194,109.30 = 102,919.20 : x
  2. Step 2: Convert to fraction form
    129,527.70/194,109.30 = 102,919.20/x
  3. Step 3: Cross multiply
    129,527.70x = 194,109.30 × 102,919.20
  4. Step 4: Simplify right side
    129,527.70x = 19,977,573,868.56
  5. Step 5: Solve for x
    x = 19,977,573,868.56/129,527.70
  6. Step 6: Final answer
    x = 154,233.99

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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.