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Finding the Fourth Proportional to 194,297.70, 291,485.84 and 81,978.19

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Solution

The fourth proportional to 194,297.70, 291,485.84 and 81,978.19 is: 122,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,297.70 : 291,485.84 = 81,978.19 : x
  2. Step 2: Convert to fraction form
    194,297.70/291,485.84 = 81,978.19/x
  3. Step 3: Cross multiply
    194,297.70x = 291,485.84 × 81,978.19
  4. Step 4: Simplify right side
    194,297.70x = 23,895,481,573.83
  5. Step 5: Solve for x
    x = 23,895,481,573.83/194,297.70
  6. Step 6: Final answer
    x = 122,983.86

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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.