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Finding the Fourth Proportional to 81,966.80, 123,065.40 and 64,456.40

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Solution

The fourth proportional to 81,966.80, 123,065.40 and 64,456.40 is: 96,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.80 : 123,065.40 = 64,456.40 : x
  2. Step 2: Convert to fraction form
    81,966.80/123,065.40 = 64,456.40/x
  3. Step 3: Cross multiply
    81,966.80x = 123,065.40 × 64,456.40
  4. Step 4: Simplify right side
    81,966.80x = 7,932,352,648.56
  5. Step 5: Solve for x
    x = 7,932,352,648.56/81,966.80
  6. Step 6: Final answer
    x = 96,775.19

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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.