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Finding the Fourth Proportional to 81,643.20, 112,668.48 and 47,653.44

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Solution

The fourth proportional to 81,643.20, 112,668.48 and 47,653.44 is: 65,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643.20 : 112,668.48 = 47,653.44 : x
  2. Step 2: Convert to fraction form
    81,643.20/112,668.48 = 47,653.44/x
  3. Step 3: Cross multiply
    81,643.20x = 112,668.48 × 47,653.44
  4. Step 4: Simplify right side
    81,643.20x = 5,369,040,651.57
  5. Step 5: Solve for x
    x = 5,369,040,651.57/81,643.20
  6. Step 6: Final answer
    x = 65,762.25

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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.