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Finding the Fourth Proportional to 81,532.81, 122,105.88 and 64,611.41

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Solution

The fourth proportional to 81,532.81, 122,105.88 and 64,611.41 is: 96,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,532.81 : 122,105.88 = 64,611.41 : x
  2. Step 2: Convert to fraction form
    81,532.81/122,105.88 = 64,611.41/x
  3. Step 3: Cross multiply
    81,532.81x = 122,105.88 × 64,611.41
  4. Step 4: Simplify right side
    81,532.81x = 7,889,432,465.56
  5. Step 5: Solve for x
    x = 7,889,432,465.56/81,532.81
  6. Step 6: Final answer
    x = 96,763.90

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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.