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Finding the Fourth Proportional to 71,605.42, 98,815.43 and 39,777.28

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Solution

The fourth proportional to 71,605.42, 98,815.43 and 39,777.28 is: 54,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,605.42 : 98,815.43 = 39,777.28 : x
  2. Step 2: Convert to fraction form
    71,605.42/98,815.43 = 39,777.28/x
  3. Step 3: Cross multiply
    71,605.42x = 98,815.43 × 39,777.28
  4. Step 4: Simplify right side
    71,605.42x = 3,930,609,027.43
  5. Step 5: Solve for x
    x = 3,930,609,027.43/71,605.42
  6. Step 6: Final answer
    x = 54,892.62

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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.