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Finding the Fourth Proportional to 84,899.75, 117,165.51 and 47,174

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Solution

The fourth proportional to 84,899.75, 117,165.51 and 47,174 is: 65,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,899.75 : 117,165.51 = 47,174 : x
  2. Step 2: Convert to fraction form
    84,899.75/117,165.51 = 47,174/x
  3. Step 3: Cross multiply
    84,899.75x = 117,165.51 × 47,174
  4. Step 4: Simplify right side
    84,899.75x = 5,527,165,532.87
  5. Step 5: Solve for x
    x = 5,527,165,532.87/84,899.75
  6. Step 6: Final answer
    x = 65,102.26

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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.