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Finding the Fourth Proportional to 87,495.75, 120,744.14 and 47,751.75

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Solution

The fourth proportional to 87,495.75, 120,744.14 and 47,751.75 is: 65,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,495.75 : 120,744.14 = 47,751.75 : x
  2. Step 2: Convert to fraction form
    87,495.75/120,744.14 = 47,751.75/x
  3. Step 3: Cross multiply
    87,495.75x = 120,744.14 × 47,751.75
  4. Step 4: Simplify right side
    87,495.75x = 5,765,743,748.49
  5. Step 5: Solve for x
    x = 5,765,743,748.49/87,495.75
  6. Step 6: Final answer
    x = 65,897.42

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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.