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Finding the Fourth Proportional to 140,775.97, 194,273.97 and 80,345.40

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Solution

The fourth proportional to 140,775.97, 194,273.97 and 80,345.40 is: 110,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,775.97 : 194,273.97 = 80,345.40 : x
  2. Step 2: Convert to fraction form
    140,775.97/194,273.97 = 80,345.40/x
  3. Step 3: Cross multiply
    140,775.97x = 194,273.97 × 80,345.40
  4. Step 4: Simplify right side
    140,775.97x = 15,609,019,829.24
  5. Step 5: Solve for x
    x = 15,609,019,829.24/140,775.97
  6. Step 6: Final answer
    x = 110,878.44

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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.