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Finding the Fourth Proportional to 57,310.40, 85,913.76 and 20,365.76

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Solution

The fourth proportional to 57,310.40, 85,913.76 and 20,365.76 is: 30,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,310.40 : 85,913.76 = 20,365.76 : x
  2. Step 2: Convert to fraction form
    57,310.40/85,913.76 = 20,365.76/x
  3. Step 3: Cross multiply
    57,310.40x = 85,913.76 × 20,365.76
  4. Step 4: Simplify right side
    57,310.40x = 1,749,699,016.86
  5. Step 5: Solve for x
    x = 1,749,699,016.86/57,310.40
  6. Step 6: Final answer
    x = 30,530.22

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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.