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Finding the Fourth Proportional to 140,656.25, 210,912.60 and 45,825.46

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Solution

The fourth proportional to 140,656.25, 210,912.60 and 45,825.46 is: 68,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,656.25 : 210,912.60 = 45,825.46 : x
  2. Step 2: Convert to fraction form
    140,656.25/210,912.60 = 45,825.46/x
  3. Step 3: Cross multiply
    140,656.25x = 210,912.60 × 45,825.46
  4. Step 4: Simplify right side
    140,656.25x = 9,665,166,914.80
  5. Step 5: Solve for x
    x = 9,665,166,914.80/140,656.25
  6. Step 6: Final answer
    x = 68,714.81

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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.