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Finding the Fourth Proportional to 194,295.70, 291,482.84 and 81,976.19

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Solution

The fourth proportional to 194,295.70, 291,482.84 and 81,976.19 is: 122,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,295.70 : 291,482.84 = 81,976.19 : x
  2. Step 2: Convert to fraction form
    194,295.70/291,482.84 = 81,976.19/x
  3. Step 3: Cross multiply
    194,295.70x = 291,482.84 × 81,976.19
  4. Step 4: Simplify right side
    194,295.70x = 23,894,652,992.41
  5. Step 5: Solve for x
    x = 23,894,652,992.41/194,295.70
  6. Step 6: Final answer
    x = 122,980.87

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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.