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Finding the Fourth Proportional to 81,054.65, 111,879.18 and 47,078.42

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Solution

The fourth proportional to 81,054.65, 111,879.18 and 47,078.42 is: 64,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.65 : 111,879.18 = 47,078.42 : x
  2. Step 2: Convert to fraction form
    81,054.65/111,879.18 = 47,078.42/x
  3. Step 3: Cross multiply
    81,054.65x = 111,879.18 × 47,078.42
  4. Step 4: Simplify right side
    81,054.65x = 5,267,094,230.51
  5. Step 5: Solve for x
    x = 5,267,094,230.51/81,054.65
  6. Step 6: Final answer
    x = 64,982.01

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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.