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Finding the Fourth Proportional to 81,989.64, 122,706.68 and 50,419.71

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Solution

The fourth proportional to 81,989.64, 122,706.68 and 50,419.71 is: 75,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,989.64 : 122,706.68 = 50,419.71 : x
  2. Step 2: Convert to fraction form
    81,989.64/122,706.68 = 50,419.71/x
  3. Step 3: Cross multiply
    81,989.64x = 122,706.68 × 50,419.71
  4. Step 4: Simplify right side
    81,989.64x = 6,186,834,968.56
  5. Step 5: Solve for x
    x = 6,186,834,968.56/81,989.64
  6. Step 6: Final answer
    x = 75,458.74

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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.