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Finding the Fourth Proportional to 219,478.69, 302,905.18 and 123,991.54

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Solution

The fourth proportional to 219,478.69, 302,905.18 and 123,991.54 is: 171,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,478.69 : 302,905.18 = 123,991.54 : x
  2. Step 2: Convert to fraction form
    219,478.69/302,905.18 = 123,991.54/x
  3. Step 3: Cross multiply
    219,478.69x = 302,905.18 × 123,991.54
  4. Step 4: Simplify right side
    219,478.69x = 37,557,678,227.65
  5. Step 5: Solve for x
    x = 37,557,678,227.65/219,478.69
  6. Step 6: Final answer
    x = 171,122.21

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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.