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Finding the Fourth Proportional to 81,574.95, 122,338.74 and 34,188.80

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Solution

The fourth proportional to 81,574.95, 122,338.74 and 34,188.80 is: 51,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,574.95 : 122,338.74 = 34,188.80 : x
  2. Step 2: Convert to fraction form
    81,574.95/122,338.74 = 34,188.80/x
  3. Step 3: Cross multiply
    81,574.95x = 122,338.74 × 34,188.80
  4. Step 4: Simplify right side
    81,574.95x = 4,182,614,102.42
  5. Step 5: Solve for x
    x = 4,182,614,102.42/81,574.95
  6. Step 6: Final answer
    x = 51,273.27

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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.