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Finding the Fourth Proportional to 140,919.10, 194,468.14 and 77,260.97

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Solution

The fourth proportional to 140,919.10, 194,468.14 and 77,260.97 is: 106,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,919.10 : 194,468.14 = 77,260.97 : x
  2. Step 2: Convert to fraction form
    140,919.10/194,468.14 = 77,260.97/x
  3. Step 3: Cross multiply
    140,919.10x = 194,468.14 × 77,260.97
  4. Step 4: Simplify right side
    140,919.10x = 15,024,797,130.50
  5. Step 5: Solve for x
    x = 15,024,797,130.50/140,919.10
  6. Step 6: Final answer
    x = 106,620.02

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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.