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Finding the Fourth Proportional to 213,471.90, 320,214.33 and 73,228.50

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Solution

The fourth proportional to 213,471.90, 320,214.33 and 73,228.50 is: 109,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,471.90 : 320,214.33 = 73,228.50 : x
  2. Step 2: Convert to fraction form
    213,471.90/320,214.33 = 73,228.50/x
  3. Step 3: Cross multiply
    213,471.90x = 320,214.33 × 73,228.50
  4. Step 4: Simplify right side
    213,471.90x = 23,448,815,064.41
  5. Step 5: Solve for x
    x = 23,448,815,064.41/213,471.90
  6. Step 6: Final answer
    x = 109,844.97

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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.