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Finding the Fourth Proportional to 193,032.80, 289,541.56 and 80,684

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Solution

The fourth proportional to 193,032.80, 289,541.56 and 80,684 is: 121,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,032.80 : 289,541.56 = 80,684 : x
  2. Step 2: Convert to fraction form
    193,032.80/289,541.56 = 80,684/x
  3. Step 3: Cross multiply
    193,032.80x = 289,541.56 × 80,684
  4. Step 4: Simplify right side
    193,032.80x = 23,361,371,227.04
  5. Step 5: Solve for x
    x = 23,361,371,227.04/193,032.80
  6. Step 6: Final answer
    x = 121,022.81

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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.