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Finding the Fourth Proportional to 130,049.80, 195,074.70 and 100,525.30

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Solution

The fourth proportional to 130,049.80, 195,074.70 and 100,525.30 is: 150,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,049.80 : 195,074.70 = 100,525.30 : x
  2. Step 2: Convert to fraction form
    130,049.80/195,074.70 = 100,525.30/x
  3. Step 3: Cross multiply
    130,049.80x = 195,074.70 × 100,525.30
  4. Step 4: Simplify right side
    130,049.80x = 19,609,942,739.91
  5. Step 5: Solve for x
    x = 19,609,942,739.91/130,049.80
  6. Step 6: Final answer
    x = 150,787.95

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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.