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Finding the Fourth Proportional to 195,628.40, 293,102.40 and 90,231.20

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Solution

The fourth proportional to 195,628.40, 293,102.40 and 90,231.20 is: 135,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,628.40 : 293,102.40 = 90,231.20 : x
  2. Step 2: Convert to fraction form
    195,628.40/293,102.40 = 90,231.20/x
  3. Step 3: Cross multiply
    195,628.40x = 293,102.40 × 90,231.20
  4. Step 4: Simplify right side
    195,628.40x = 26,446,981,274.88
  5. Step 5: Solve for x
    x = 26,446,981,274.88/195,628.40
  6. Step 6: Final answer
    x = 135,189.89

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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.