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Finding the Fourth Proportional to 252,138.69, 377,952.89 and 163,448.55

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Solution

The fourth proportional to 252,138.69, 377,952.89 and 163,448.55 is: 245,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,138.69 : 377,952.89 = 163,448.55 : x
  2. Step 2: Convert to fraction form
    252,138.69/377,952.89 = 163,448.55/x
  3. Step 3: Cross multiply
    252,138.69x = 377,952.89 × 163,448.55
  4. Step 4: Simplify right side
    252,138.69x = 61,775,851,021.57
  5. Step 5: Solve for x
    x = 61,775,851,021.57/252,138.69
  6. Step 6: Final answer
    x = 245,007.42

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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.