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Finding the Fourth Proportional to 50,419.50, 75,641.76 and 20,845.86

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Solution

The fourth proportional to 50,419.50, 75,641.76 and 20,845.86 is: 31,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.50 : 75,641.76 = 20,845.86 : x
  2. Step 2: Convert to fraction form
    50,419.50/75,641.76 = 20,845.86/x
  3. Step 3: Cross multiply
    50,419.50x = 75,641.76 × 20,845.86
  4. Step 4: Simplify right side
    50,419.50x = 1,576,817,539.11
  5. Step 5: Solve for x
    x = 1,576,817,539.11/50,419.50
  6. Step 6: Final answer
    x = 31,273.96

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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.