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Finding the Fourth Proportional to 140,611.50, 210,918 and 57,505.50

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Solution

The fourth proportional to 140,611.50, 210,918 and 57,505.50 is: 86,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,611.50 : 210,918 = 57,505.50 : x
  2. Step 2: Convert to fraction form
    140,611.50/210,918 = 57,505.50/x
  3. Step 3: Cross multiply
    140,611.50x = 210,918 × 57,505.50
  4. Step 4: Simplify right side
    140,611.50x = 12,128,945,049
  5. Step 5: Solve for x
    x = 12,128,945,049/140,611.50
  6. Step 6: Final answer
    x = 86,258.56

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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.