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Finding the Fourth Proportional to 194,800, 291,978.54 and 82,410.16

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Solution

The fourth proportional to 194,800, 291,978.54 and 82,410.16 is: 123,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,800 : 291,978.54 = 82,410.16 : x
  2. Step 2: Convert to fraction form
    194,800/291,978.54 = 82,410.16/x
  3. Step 3: Cross multiply
    194,800x = 291,978.54 × 82,410.16
  4. Step 4: Simplify right side
    194,800x = 24,061,998,197.97
  5. Step 5: Solve for x
    x = 24,061,998,197.97/194,800
  6. Step 6: Final answer
    x = 123,521.55

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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.