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Finding the Fourth Proportional to 174,138.86, 261,306.72 and 74,289.62

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Solution

The fourth proportional to 174,138.86, 261,306.72 and 74,289.62 is: 111,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,138.86 : 261,306.72 = 74,289.62 : x
  2. Step 2: Convert to fraction form
    174,138.86/261,306.72 = 74,289.62/x
  3. Step 3: Cross multiply
    174,138.86x = 261,306.72 × 74,289.62
  4. Step 4: Simplify right side
    174,138.86x = 19,412,376,932.25
  5. Step 5: Solve for x
    x = 19,412,376,932.25/174,138.86
  6. Step 6: Final answer
    x = 111,476.42

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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.