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Finding the Fourth Proportional to 81,168, 112,016.16 and 47,644.80

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Solution

The fourth proportional to 81,168, 112,016.16 and 47,644.80 is: 65,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,168 : 112,016.16 = 47,644.80 : x
  2. Step 2: Convert to fraction form
    81,168/112,016.16 = 47,644.80/x
  3. Step 3: Cross multiply
    81,168x = 112,016.16 × 47,644.80
  4. Step 4: Simplify right side
    81,168x = 5,336,987,539.97
  5. Step 5: Solve for x
    x = 5,336,987,539.97/81,168
  6. Step 6: Final answer
    x = 65,752.36

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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.