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Finding the Fourth Proportional to 135,283.38, 186,766.20 and 81,582

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Solution

The fourth proportional to 135,283.38, 186,766.20 and 81,582 is: 112,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,283.38 : 186,766.20 = 81,582 : x
  2. Step 2: Convert to fraction form
    135,283.38/186,766.20 = 81,582/x
  3. Step 3: Cross multiply
    135,283.38x = 186,766.20 × 81,582
  4. Step 4: Simplify right side
    135,283.38x = 15,236,760,128.40
  5. Step 5: Solve for x
    x = 15,236,760,128.40/135,283.38
  6. Step 6: Final answer
    x = 112,628.47

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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.