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Finding the Fourth Proportional to 194,252.80, 291,206.40 and 127,724.80

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Solution

The fourth proportional to 194,252.80, 291,206.40 and 127,724.80 is: 191,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,252.80 : 291,206.40 = 127,724.80 : x
  2. Step 2: Convert to fraction form
    194,252.80/291,206.40 = 127,724.80/x
  3. Step 3: Cross multiply
    194,252.80x = 291,206.40 × 127,724.80
  4. Step 4: Simplify right side
    194,252.80x = 37,194,279,198.72
  5. Step 5: Solve for x
    x = 37,194,279,198.72/194,252.80
  6. Step 6: Final answer
    x = 191,473.58

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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.