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Finding the Fourth Proportional to 84,872.56, 117,128.28 and 47,146

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Solution

The fourth proportional to 84,872.56, 117,128.28 and 47,146 is: 65,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,872.56 : 117,128.28 = 47,146 : x
  2. Step 2: Convert to fraction form
    84,872.56/117,128.28 = 47,146/x
  3. Step 3: Cross multiply
    84,872.56x = 117,128.28 × 47,146
  4. Step 4: Simplify right side
    84,872.56x = 5,522,129,888.88
  5. Step 5: Solve for x
    x = 5,522,129,888.88/84,872.56
  6. Step 6: Final answer
    x = 65,063.78

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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.