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Finding the Fourth Proportional to 194,797.80, 291,975.22 and 82,407.87

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Solution

The fourth proportional to 194,797.80, 291,975.22 and 82,407.87 is: 123,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,797.80 : 291,975.22 = 82,407.87 : x
  2. Step 2: Convert to fraction form
    194,797.80/291,975.22 = 82,407.87/x
  3. Step 3: Cross multiply
    194,797.80x = 291,975.22 × 82,407.87
  4. Step 4: Simplify right side
    194,797.80x = 24,061,054,719.13
  5. Step 5: Solve for x
    x = 24,061,054,719.13/194,797.80
  6. Step 6: Final answer
    x = 123,518.11

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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.