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Finding the Fourth Proportional to 81,540, 112,525.40 and 47,571.84

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Solution

The fourth proportional to 81,540, 112,525.40 and 47,571.84 is: 65,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,540 : 112,525.40 = 47,571.84 : x
  2. Step 2: Convert to fraction form
    81,540/112,525.40 = 47,571.84/x
  3. Step 3: Cross multiply
    81,540x = 112,525.40 × 47,571.84
  4. Step 4: Simplify right side
    81,540x = 5,353,040,443.67
  5. Step 5: Solve for x
    x = 5,353,040,443.67/81,540
  6. Step 6: Final answer
    x = 65,649.26

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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.