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Finding the Fourth Proportional to 194,436.80, 291,424.80 and 82,116.80

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Solution

The fourth proportional to 194,436.80, 291,424.80 and 82,116.80 is: 123,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,436.80 : 291,424.80 = 82,116.80 : x
  2. Step 2: Convert to fraction form
    194,436.80/291,424.80 = 82,116.80/x
  3. Step 3: Cross multiply
    194,436.80x = 291,424.80 × 82,116.80
  4. Step 4: Simplify right side
    194,436.80x = 23,930,872,016.64
  5. Step 5: Solve for x
    x = 23,930,872,016.64/194,436.80
  6. Step 6: Final answer
    x = 123,077.89

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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.