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Finding the Fourth Proportional to 82,770.30, 124,414.65 and 81,215.10

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Solution

The fourth proportional to 82,770.30, 124,414.65 and 81,215.10 is: 122,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770.30 : 124,414.65 = 81,215.10 : x
  2. Step 2: Convert to fraction form
    82,770.30/124,414.65 = 81,215.10/x
  3. Step 3: Cross multiply
    82,770.30x = 124,414.65 × 81,215.10
  4. Step 4: Simplify right side
    82,770.30x = 10,104,348,241.22
  5. Step 5: Solve for x
    x = 10,104,348,241.22/82,770.30
  6. Step 6: Final answer
    x = 122,076.98

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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.