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Finding the Fourth Proportional to 221,632.86, 332,449.29 and 55,420.86

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Solution

The fourth proportional to 221,632.86, 332,449.29 and 55,420.86 is: 83,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,632.86 : 332,449.29 = 55,420.86 : x
  2. Step 2: Convert to fraction form
    221,632.86/332,449.29 = 55,420.86/x
  3. Step 3: Cross multiply
    221,632.86x = 332,449.29 × 55,420.86
  4. Step 4: Simplify right side
    221,632.86x = 18,424,625,558.19
  5. Step 5: Solve for x
    x = 18,424,625,558.19/221,632.86
  6. Step 6: Final answer
    x = 83,131.29

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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.