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Finding the Fourth Proportional to 84,283.60, 126,432.64 and 21,954

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Solution

The fourth proportional to 84,283.60, 126,432.64 and 21,954 is: 32,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,283.60 : 126,432.64 = 21,954 : x
  2. Step 2: Convert to fraction form
    84,283.60/126,432.64 = 21,954/x
  3. Step 3: Cross multiply
    84,283.60x = 126,432.64 × 21,954
  4. Step 4: Simplify right side
    84,283.60x = 2,775,702,178.56
  5. Step 5: Solve for x
    x = 2,775,702,178.56/84,283.60
  6. Step 6: Final answer
    x = 32,932.89

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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.