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Finding the Fourth Proportional to 140,573.44, 210,518.88 and 77,296.96

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Solution

The fourth proportional to 140,573.44, 210,518.88 and 77,296.96 is: 115,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,573.44 : 210,518.88 = 77,296.96 : x
  2. Step 2: Convert to fraction form
    140,573.44/210,518.88 = 77,296.96/x
  3. Step 3: Cross multiply
    140,573.44x = 210,518.88 × 77,296.96
  4. Step 4: Simplify right side
    140,573.44x = 16,272,469,446.60
  5. Step 5: Solve for x
    x = 16,272,469,446.60/140,573.44
  6. Step 6: Final answer
    x = 115,757.78

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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.