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Finding the Fourth Proportional to 80,668.80, 121,007.16 and 21,505

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Solution

The fourth proportional to 80,668.80, 121,007.16 and 21,505 is: 32,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,668.80 : 121,007.16 = 21,505 : x
  2. Step 2: Convert to fraction form
    80,668.80/121,007.16 = 21,505/x
  3. Step 3: Cross multiply
    80,668.80x = 121,007.16 × 21,505
  4. Step 4: Simplify right side
    80,668.80x = 2,602,258,975.80
  5. Step 5: Solve for x
    x = 2,602,258,975.80/80,668.80
  6. Step 6: Final answer
    x = 32,258.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.