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Finding the Fourth Proportional to 43,057, 64,611.42 and 18,433

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Solution

The fourth proportional to 43,057, 64,611.42 and 18,433 is: 27,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057 : 64,611.42 = 18,433 : x
  2. Step 2: Convert to fraction form
    43,057/64,611.42 = 18,433/x
  3. Step 3: Cross multiply
    43,057x = 64,611.42 × 18,433
  4. Step 4: Simplify right side
    43,057x = 1,190,982,304.86
  5. Step 5: Solve for x
    x = 1,190,982,304.86/43,057
  6. Step 6: Final answer
    x = 27,660.60

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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.