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Finding the Fourth Proportional to 21,342,396.71, 31,993,978.12 and 7,692,202.49

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Solution

The fourth proportional to 21,342,396.71, 31,993,978.12 and 7,692,202.49 is: 11,531,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342,396.71 : 31,993,978.12 = 7,692,202.49 : x
  2. Step 2: Convert to fraction form
    21,342,396.71/31,993,978.12 = 7,692,202.49/x
  3. Step 3: Cross multiply
    21,342,396.71x = 31,993,978.12 × 7,692,202.49
  4. Step 4: Simplify right side
    21,342,396.71x = 246,104,157,980,469.12
  5. Step 5: Solve for x
    x = 246,104,157,980,469.12/21,342,396.71
  6. Step 6: Final answer
    x = 11,531,233.41

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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.