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Finding the Fourth Proportional to 213,086.57, 319,242.22 and 124,070.21

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Solution

The fourth proportional to 213,086.57, 319,242.22 and 124,070.21 is: 185,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,086.57 : 319,242.22 = 124,070.21 : x
  2. Step 2: Convert to fraction form
    213,086.57/319,242.22 = 124,070.21/x
  3. Step 3: Cross multiply
    213,086.57x = 319,242.22 × 124,070.21
  4. Step 4: Simplify right side
    213,086.57x = 39,608,449,276.27
  5. Step 5: Solve for x
    x = 39,608,449,276.27/213,086.57
  6. Step 6: Final answer
    x = 185,879.61

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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.