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Finding the Fourth Proportional to 213,458.49, 320,151.42 and 71,287.63

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Solution

The fourth proportional to 213,458.49, 320,151.42 and 71,287.63 is: 106,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,458.49 : 320,151.42 = 71,287.63 : x
  2. Step 2: Convert to fraction form
    213,458.49/320,151.42 = 71,287.63/x
  3. Step 3: Cross multiply
    213,458.49x = 320,151.42 × 71,287.63
  4. Step 4: Simplify right side
    213,458.49x = 22,822,835,172.56
  5. Step 5: Solve for x
    x = 22,822,835,172.56/213,458.49
  6. Step 6: Final answer
    x = 106,919.31

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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.