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Finding the Fourth Proportional to 205,611.66, 308,442.11 and 72,464.36

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Solution

The fourth proportional to 205,611.66, 308,442.11 and 72,464.36 is: 108,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,611.66 : 308,442.11 = 72,464.36 : x
  2. Step 2: Convert to fraction form
    205,611.66/308,442.11 = 72,464.36/x
  3. Step 3: Cross multiply
    205,611.66x = 308,442.11 × 72,464.36
  4. Step 4: Simplify right side
    205,611.66x = 22,351,058,193.67
  5. Step 5: Solve for x
    x = 22,351,058,193.67/205,611.66
  6. Step 6: Final answer
    x = 108,705.21

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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.