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Finding the Fourth Proportional to 194,447.80, 291,623.10 and 74,478.70

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Solution

The fourth proportional to 194,447.80, 291,623.10 and 74,478.70 is: 111,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,447.80 : 291,623.10 = 74,478.70 : x
  2. Step 2: Convert to fraction form
    194,447.80/291,623.10 = 74,478.70/x
  3. Step 3: Cross multiply
    194,447.80x = 291,623.10 × 74,478.70
  4. Step 4: Simplify right side
    194,447.80x = 21,719,709,377.97
  5. Step 5: Solve for x
    x = 21,719,709,377.97/194,447.80
  6. Step 6: Final answer
    x = 111,699.43

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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.