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Finding the Fourth Proportional to 81,589.58, 122,390.29 and 34,156.96

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Solution

The fourth proportional to 81,589.58, 122,390.29 and 34,156.96 is: 51,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,589.58 : 122,390.29 = 34,156.96 : x
  2. Step 2: Convert to fraction form
    81,589.58/122,390.29 = 34,156.96/x
  3. Step 3: Cross multiply
    81,589.58x = 122,390.29 × 34,156.96
  4. Step 4: Simplify right side
    81,589.58x = 4,180,480,665.08
  5. Step 5: Solve for x
    x = 4,180,480,665.08/81,589.58
  6. Step 6: Final answer
    x = 51,237.92

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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.