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Finding the Fourth Proportional to 209,793.69, 314,721.54 and 76,642.83

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Solution

The fourth proportional to 209,793.69, 314,721.54 and 76,642.83 is: 114,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,793.69 : 314,721.54 = 76,642.83 : x
  2. Step 2: Convert to fraction form
    209,793.69/314,721.54 = 76,642.83/x
  3. Step 3: Cross multiply
    209,793.69x = 314,721.54 × 76,642.83
  4. Step 4: Simplify right side
    209,793.69x = 24,121,149,487.56
  5. Step 5: Solve for x
    x = 24,121,149,487.56/209,793.69
  6. Step 6: Final answer
    x = 114,975.57

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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.