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Finding the Fourth Proportional to 130,109.78, 195,065.78 and 90,022.20

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Solution

The fourth proportional to 130,109.78, 195,065.78 and 90,022.20 is: 134,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,109.78 : 195,065.78 = 90,022.20 : x
  2. Step 2: Convert to fraction form
    130,109.78/195,065.78 = 90,022.20/x
  3. Step 3: Cross multiply
    130,109.78x = 195,065.78 × 90,022.20
  4. Step 4: Simplify right side
    130,109.78x = 17,560,250,660.32
  5. Step 5: Solve for x
    x = 17,560,250,660.32/130,109.78
  6. Step 6: Final answer
    x = 134,964.88

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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.