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Finding the Fourth Proportional to 231,169.74, 318,924.13 and 145,078.49

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Solution

The fourth proportional to 231,169.74, 318,924.13 and 145,078.49 is: 200,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,169.74 : 318,924.13 = 145,078.49 : x
  2. Step 2: Convert to fraction form
    231,169.74/318,924.13 = 145,078.49/x
  3. Step 3: Cross multiply
    231,169.74x = 318,924.13 × 145,078.49
  4. Step 4: Simplify right side
    231,169.74x = 46,269,030,462.37
  5. Step 5: Solve for x
    x = 46,269,030,462.37/231,169.74
  6. Step 6: Final answer
    x = 200,151.76

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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.