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Finding the Fourth Proportional to 81,816.84, 122,710.86 and 21,846.06

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Solution

The fourth proportional to 81,816.84, 122,710.86 and 21,846.06 is: 32,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816.84 : 122,710.86 = 21,846.06 : x
  2. Step 2: Convert to fraction form
    81,816.84/122,710.86 = 21,846.06/x
  3. Step 3: Cross multiply
    81,816.84x = 122,710.86 × 21,846.06
  4. Step 4: Simplify right side
    81,816.84x = 2,680,748,810.21
  5. Step 5: Solve for x
    x = 2,680,748,810.21/81,816.84
  6. Step 6: Final answer
    x = 32,765.25

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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.