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Finding the Fourth Proportional to 200,064.20, 299,763.09 and 140,775.30

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Solution

The fourth proportional to 200,064.20, 299,763.09 and 140,775.30 is: 210,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,064.20 : 299,763.09 = 140,775.30 : x
  2. Step 2: Convert to fraction form
    200,064.20/299,763.09 = 140,775.30/x
  3. Step 3: Cross multiply
    200,064.20x = 299,763.09 × 140,775.30
  4. Step 4: Simplify right side
    200,064.20x = 42,199,238,923.68
  5. Step 5: Solve for x
    x = 42,199,238,923.68/200,064.20
  6. Step 6: Final answer
    x = 210,928.49

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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.