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Finding the Fourth Proportional to 140,686.99, 194,166.53 and 80,243.77

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Solution

The fourth proportional to 140,686.99, 194,166.53 and 80,243.77 is: 110,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,686.99 : 194,166.53 = 80,243.77 : x
  2. Step 2: Convert to fraction form
    140,686.99/194,166.53 = 80,243.77/x
  3. Step 3: Cross multiply
    140,686.99x = 194,166.53 × 80,243.77
  4. Step 4: Simplify right side
    140,686.99x = 15,580,654,375.02
  5. Step 5: Solve for x
    x = 15,580,654,375.02/140,686.99
  6. Step 6: Final answer
    x = 110,746.95

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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.