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Finding the Fourth Proportional to 148,990, 223,625.45 and 54,311.69

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Solution

The fourth proportional to 148,990, 223,625.45 and 54,311.69 is: 81,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,990 : 223,625.45 = 54,311.69 : x
  2. Step 2: Convert to fraction form
    148,990/223,625.45 = 54,311.69/x
  3. Step 3: Cross multiply
    148,990x = 223,625.45 × 54,311.69
  4. Step 4: Simplify right side
    148,990x = 12,145,476,116.51
  5. Step 5: Solve for x
    x = 12,145,476,116.51/148,990
  6. Step 6: Final answer
    x = 81,518.73

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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.