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Finding the Fourth Proportional to 130,029.40, 194,825.40 and 111,221.20

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Solution

The fourth proportional to 130,029.40, 194,825.40 and 111,221.20 is: 166,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,029.40 : 194,825.40 = 111,221.20 : x
  2. Step 2: Convert to fraction form
    130,029.40/194,825.40 = 111,221.20/x
  3. Step 3: Cross multiply
    130,029.40x = 194,825.40 × 111,221.20
  4. Step 4: Simplify right side
    130,029.40x = 21,668,714,778.48
  5. Step 5: Solve for x
    x = 21,668,714,778.48/130,029.40
  6. Step 6: Final answer
    x = 166,644.73

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1.5x scale

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.