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Finding the Fourth Proportional to 200,679.68, 300,958.08 and 138,748.16

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Solution

The fourth proportional to 200,679.68, 300,958.08 and 138,748.16 is: 208,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,679.68 : 300,958.08 = 138,748.16 : x
  2. Step 2: Convert to fraction form
    200,679.68/300,958.08 = 138,748.16/x
  3. Step 3: Cross multiply
    200,679.68x = 300,958.08 × 138,748.16
  4. Step 4: Simplify right side
    200,679.68x = 41,757,379,837.13
  5. Step 5: Solve for x
    x = 41,757,379,837.13/200,679.68
  6. Step 6: Final answer
    x = 208,079.76

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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.