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Finding the Fourth Proportional to 148,990.86, 205,611.42 and 81,012.42

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Solution

The fourth proportional to 148,990.86, 205,611.42 and 81,012.42 is: 111,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,990.86 : 205,611.42 = 81,012.42 : x
  2. Step 2: Convert to fraction form
    148,990.86/205,611.42 = 81,012.42/x
  3. Step 3: Cross multiply
    148,990.86x = 205,611.42 × 81,012.42
  4. Step 4: Simplify right side
    148,990.86x = 16,657,078,713.84
  5. Step 5: Solve for x
    x = 16,657,078,713.84/148,990.86
  6. Step 6: Final answer
    x = 111,799.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.