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Finding the Fourth Proportional to 140,393.50, 210,688.66 and 81,147.66

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Solution

The fourth proportional to 140,393.50, 210,688.66 and 81,147.66 is: 121,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,393.50 : 210,688.66 = 81,147.66 : x
  2. Step 2: Convert to fraction form
    140,393.50/210,688.66 = 81,147.66/x
  3. Step 3: Cross multiply
    140,393.50x = 210,688.66 × 81,147.66
  4. Step 4: Simplify right side
    140,393.50x = 17,096,891,747.54
  5. Step 5: Solve for x
    x = 17,096,891,747.54/140,393.50
  6. Step 6: Final answer
    x = 121,778.37

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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.