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Finding the Fourth Proportional to 81,858.84, 122,835.33 and 34,470.20

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Solution

The fourth proportional to 81,858.84, 122,835.33 and 34,470.20 is: 51,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858.84 : 122,835.33 = 34,470.20 : x
  2. Step 2: Convert to fraction form
    81,858.84/122,835.33 = 34,470.20/x
  3. Step 3: Cross multiply
    81,858.84x = 122,835.33 × 34,470.20
  4. Step 4: Simplify right side
    81,858.84x = 4,234,158,392.17
  5. Step 5: Solve for x
    x = 4,234,158,392.17/81,858.84
  6. Step 6: Final answer
    x = 51,725.12

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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.