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Finding the Fourth Proportional to 83,491.50, 125,244.54 and 21,162

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Solution

The fourth proportional to 83,491.50, 125,244.54 and 21,162 is: 31,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,491.50 : 125,244.54 = 21,162 : x
  2. Step 2: Convert to fraction form
    83,491.50/125,244.54 = 21,162/x
  3. Step 3: Cross multiply
    83,491.50x = 125,244.54 × 21,162
  4. Step 4: Simplify right side
    83,491.50x = 2,650,424,955.48
  5. Step 5: Solve for x
    x = 2,650,424,955.48/83,491.50
  6. Step 6: Final answer
    x = 31,744.85

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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.