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Finding the Fourth Proportional to 213,892.80, 320,839.20 and 147,537.60

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Solution

The fourth proportional to 213,892.80, 320,839.20 and 147,537.60 is: 221,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892.80 : 320,839.20 = 147,537.60 : x
  2. Step 2: Convert to fraction form
    213,892.80/320,839.20 = 147,537.60/x
  3. Step 3: Cross multiply
    213,892.80x = 320,839.20 × 147,537.60
  4. Step 4: Simplify right side
    213,892.80x = 47,335,845,553.92
  5. Step 5: Solve for x
    x = 47,335,845,553.92/213,892.80
  6. Step 6: Final answer
    x = 221,306.40

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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.