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Finding the Fourth Proportional to 81,595.71, 122,367.65 and 26,178.75

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Solution

The fourth proportional to 81,595.71, 122,367.65 and 26,178.75 is: 39,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,595.71 : 122,367.65 = 26,178.75 : x
  2. Step 2: Convert to fraction form
    81,595.71/122,367.65 = 26,178.75/x
  3. Step 3: Cross multiply
    81,595.71x = 122,367.65 × 26,178.75
  4. Step 4: Simplify right side
    81,595.71x = 3,203,431,986.54
  5. Step 5: Solve for x
    x = 3,203,431,986.54/81,595.71
  6. Step 6: Final answer
    x = 39,259.81

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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.