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Finding the Fourth Proportional to 199,789.69, 299,205.79 and 145,609.16

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Solution

The fourth proportional to 199,789.69, 299,205.79 and 145,609.16 is: 218,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,789.69 : 299,205.79 = 145,609.16 : x
  2. Step 2: Convert to fraction form
    199,789.69/299,205.79 = 145,609.16/x
  3. Step 3: Cross multiply
    199,789.69x = 299,205.79 × 145,609.16
  4. Step 4: Simplify right side
    199,789.69x = 43,567,103,749.04
  5. Step 5: Solve for x
    x = 43,567,103,749.04/199,789.69
  6. Step 6: Final answer
    x = 218,064.82

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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.