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Finding the Fourth Proportional to 82,456.80, 115,672.80 and 82,456.80

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Solution

The fourth proportional to 82,456.80, 115,672.80 and 82,456.80 is: 115,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,456.80 : 115,672.80 = 82,456.80 : x
  2. Step 2: Convert to fraction form
    82,456.80/115,672.80 = 82,456.80/x
  3. Step 3: Cross multiply
    82,456.80x = 115,672.80 × 82,456.80
  4. Step 4: Simplify right side
    82,456.80x = 9,538,008,935.04
  5. Step 5: Solve for x
    x = 9,538,008,935.04/82,456.80
  6. Step 6: Final answer
    x = 115,672.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.