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Finding the Fourth Proportional to 81,768.96, 122,666.40 and 26,352

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Solution

The fourth proportional to 81,768.96, 122,666.40 and 26,352 is: 39,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,768.96 : 122,666.40 = 26,352 : x
  2. Step 2: Convert to fraction form
    81,768.96/122,666.40 = 26,352/x
  3. Step 3: Cross multiply
    81,768.96x = 122,666.40 × 26,352
  4. Step 4: Simplify right side
    81,768.96x = 3,232,504,972.80
  5. Step 5: Solve for x
    x = 3,232,504,972.80/81,768.96
  6. Step 6: Final answer
    x = 39,532.18

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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.