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Finding the Fourth Proportional to 145,195, 199,747.02 and 138,974.20

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Solution

The fourth proportional to 145,195, 199,747.02 and 138,974.20 is: 191,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,195 : 199,747.02 = 138,974.20 : x
  2. Step 2: Convert to fraction form
    145,195/199,747.02 = 138,974.20/x
  3. Step 3: Cross multiply
    145,195x = 199,747.02 × 138,974.20
  4. Step 4: Simplify right side
    145,195x = 27,759,682,306.88
  5. Step 5: Solve for x
    x = 27,759,682,306.88/145,195
  6. Step 6: Final answer
    x = 191,188.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.