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Finding the Fourth Proportional to 81,191.90, 121,898.29 and 45,678.21

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Solution

The fourth proportional to 81,191.90, 121,898.29 and 45,678.21 is: 68,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,191.90 : 121,898.29 = 45,678.21 : x
  2. Step 2: Convert to fraction form
    81,191.90/121,898.29 = 45,678.21/x
  3. Step 3: Cross multiply
    81,191.90x = 121,898.29 × 45,678.21
  4. Step 4: Simplify right side
    81,191.90x = 5,568,095,060.85
  5. Step 5: Solve for x
    x = 5,568,095,060.85/81,191.90
  6. Step 6: Final answer
    x = 68,579.44

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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.