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Finding the Fourth Proportional to 71,590.86, 98,786.44 and 39,755.42

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Solution

The fourth proportional to 71,590.86, 98,786.44 and 39,755.42 is: 54,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,590.86 : 98,786.44 = 39,755.42 : x
  2. Step 2: Convert to fraction form
    71,590.86/98,786.44 = 39,755.42/x
  3. Step 3: Cross multiply
    71,590.86x = 98,786.44 × 39,755.42
  4. Step 4: Simplify right side
    71,590.86x = 3,927,296,412.50
  5. Step 5: Solve for x
    x = 3,927,296,412.50/71,590.86
  6. Step 6: Final answer
    x = 54,857.51

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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.