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Finding the Fourth Proportional to 55,771.86, 83,636 and 20,224.74

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Solution

The fourth proportional to 55,771.86, 83,636 and 20,224.74 is: 30,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,771.86 : 83,636 = 20,224.74 : x
  2. Step 2: Convert to fraction form
    55,771.86/83,636 = 20,224.74/x
  3. Step 3: Cross multiply
    55,771.86x = 83,636 × 20,224.74
  4. Step 4: Simplify right side
    55,771.86x = 1,691,516,354.64
  5. Step 5: Solve for x
    x = 1,691,516,354.64/55,771.86
  6. Step 6: Final answer
    x = 30,329.21

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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.