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Finding the Fourth Proportional to 84,934.56, 117,213.84 and 47,208

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Solution

The fourth proportional to 84,934.56, 117,213.84 and 47,208 is: 65,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,934.56 : 117,213.84 = 47,208 : x
  2. Step 2: Convert to fraction form
    84,934.56/117,213.84 = 47,208/x
  3. Step 3: Cross multiply
    84,934.56x = 117,213.84 × 47,208
  4. Step 4: Simplify right side
    84,934.56x = 5,533,430,958.72
  5. Step 5: Solve for x
    x = 5,533,430,958.72/84,934.56
  6. Step 6: Final answer
    x = 65,149.35

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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.