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Finding the Fourth Proportional to 81,806.78, 122,710.11 and 26,402.78

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Solution

The fourth proportional to 81,806.78, 122,710.11 and 26,402.78 is: 39,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.78 : 122,710.11 = 26,402.78 : x
  2. Step 2: Convert to fraction form
    81,806.78/122,710.11 = 26,402.78/x
  3. Step 3: Cross multiply
    81,806.78x = 122,710.11 × 26,402.78
  4. Step 4: Simplify right side
    81,806.78x = 3,239,888,038.11
  5. Step 5: Solve for x
    x = 3,239,888,038.11/81,806.78
  6. Step 6: Final answer
    x = 39,604.15

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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.