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Finding the Fourth Proportional to 81,957.29, 122,903.59 and 39,824.89

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Solution

The fourth proportional to 81,957.29, 122,903.59 and 39,824.89 is: 59,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,957.29 : 122,903.59 = 39,824.89 : x
  2. Step 2: Convert to fraction form
    81,957.29/122,903.59 = 39,824.89/x
  3. Step 3: Cross multiply
    81,957.29x = 122,903.59 × 39,824.89
  4. Step 4: Simplify right side
    81,957.29x = 4,894,622,021.88
  5. Step 5: Solve for x
    x = 4,894,622,021.88/81,957.29
  6. Step 6: Final answer
    x = 59,721.62

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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.