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Finding the Fourth Proportional to 81,796.80, 122,810.40 and 64,286.40

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Solution

The fourth proportional to 81,796.80, 122,810.40 and 64,286.40 is: 96,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796.80 : 122,810.40 = 64,286.40 : x
  2. Step 2: Convert to fraction form
    81,796.80/122,810.40 = 64,286.40/x
  3. Step 3: Cross multiply
    81,796.80x = 122,810.40 × 64,286.40
  4. Step 4: Simplify right side
    81,796.80x = 7,895,038,498.56
  5. Step 5: Solve for x
    x = 7,895,038,498.56/81,796.80
  6. Step 6: Final answer
    x = 96,520.14

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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.