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Finding the Fourth Proportional to 87,495, 120,743.10 and 47,751

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Solution

The fourth proportional to 87,495, 120,743.10 and 47,751 is: 65,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,495 : 120,743.10 = 47,751 : x
  2. Step 2: Convert to fraction form
    87,495/120,743.10 = 47,751/x
  3. Step 3: Cross multiply
    87,495x = 120,743.10 × 47,751
  4. Step 4: Simplify right side
    87,495x = 5,765,603,768.10
  5. Step 5: Solve for x
    x = 5,765,603,768.10/87,495
  6. Step 6: Final answer
    x = 65,896.38

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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.