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Finding the Fourth Proportional to 81,756.96, 122,609.52 and 26,340

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Solution

The fourth proportional to 81,756.96, 122,609.52 and 26,340 is: 39,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756.96 : 122,609.52 = 26,340 : x
  2. Step 2: Convert to fraction form
    81,756.96/122,609.52 = 26,340/x
  3. Step 3: Cross multiply
    81,756.96x = 122,609.52 × 26,340
  4. Step 4: Simplify right side
    81,756.96x = 3,229,534,756.80
  5. Step 5: Solve for x
    x = 3,229,534,756.80/81,756.96
  6. Step 6: Final answer
    x = 39,501.65

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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.