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Finding the Fourth Proportional to 140,481.81, 193,865.13 and 76,820.67

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Solution

The fourth proportional to 140,481.81, 193,865.13 and 76,820.67 is: 106,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,481.81 : 193,865.13 = 76,820.67 : x
  2. Step 2: Convert to fraction form
    140,481.81/193,865.13 = 76,820.67/x
  3. Step 3: Cross multiply
    140,481.81x = 193,865.13 × 76,820.67
  4. Step 4: Simplify right side
    140,481.81x = 14,892,849,176.24
  5. Step 5: Solve for x
    x = 14,892,849,176.24/140,481.81
  6. Step 6: Final answer
    x = 106,012.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.