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Finding the Fourth Proportional to 81,062.82, 111,858.19 and 47,064.66

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Solution

The fourth proportional to 81,062.82, 111,858.19 and 47,064.66 is: 64,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,062.82 : 111,858.19 = 47,064.66 : x
  2. Step 2: Convert to fraction form
    81,062.82/111,858.19 = 47,064.66/x
  3. Step 3: Cross multiply
    81,062.82x = 111,858.19 × 47,064.66
  4. Step 4: Simplify right side
    81,062.82x = 5,264,567,680.57
  5. Step 5: Solve for x
    x = 5,264,567,680.57/81,062.82
  6. Step 6: Final answer
    x = 64,944.29

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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.