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Finding the Fourth Proportional to 81,668.40, 112,719.96 and 49,830.48

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Solution

The fourth proportional to 81,668.40, 112,719.96 and 49,830.48 is: 68,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,668.40 : 112,719.96 = 49,830.48 : x
  2. Step 2: Convert to fraction form
    81,668.40/112,719.96 = 49,830.48/x
  3. Step 3: Cross multiply
    81,668.40x = 112,719.96 × 49,830.48
  4. Step 4: Simplify right side
    81,668.40x = 5,616,889,712.38
  5. Step 5: Solve for x
    x = 5,616,889,712.38/81,668.40
  6. Step 6: Final answer
    x = 68,776.78

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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.