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Finding the Fourth Proportional to 81,872.84, 122,813.58 and 26,473.16

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Solution

The fourth proportional to 81,872.84, 122,813.58 and 26,473.16 is: 39,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872.84 : 122,813.58 = 26,473.16 : x
  2. Step 2: Convert to fraction form
    81,872.84/122,813.58 = 26,473.16/x
  3. Step 3: Cross multiply
    81,872.84x = 122,813.58 × 26,473.16
  4. Step 4: Simplify right side
    81,872.84x = 3,251,263,553.51
  5. Step 5: Solve for x
    x = 3,251,263,553.51/81,872.84
  6. Step 6: Final answer
    x = 39,711.14

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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.