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Finding the Fourth Proportional to 200,254.21, 299,794.47 and 105,260.65

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Solution

The fourth proportional to 200,254.21, 299,794.47 and 105,260.65 is: 157,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,254.21 : 299,794.47 = 105,260.65 : x
  2. Step 2: Convert to fraction form
    200,254.21/299,794.47 = 105,260.65/x
  3. Step 3: Cross multiply
    200,254.21x = 299,794.47 × 105,260.65
  4. Step 4: Simplify right side
    200,254.21x = 31,556,560,778.61
  5. Step 5: Solve for x
    x = 31,556,560,778.61/200,254.21
  6. Step 6: Final answer
    x = 157,582.51

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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.