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Finding the Fourth Proportional to 76,428.86, 114,645.86 and 20,274.64

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Solution

The fourth proportional to 76,428.86, 114,645.86 and 20,274.64 is: 30,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428.86 : 114,645.86 = 20,274.64 : x
  2. Step 2: Convert to fraction form
    76,428.86/114,645.86 = 20,274.64/x
  3. Step 3: Cross multiply
    76,428.86x = 114,645.86 × 20,274.64
  4. Step 4: Simplify right side
    76,428.86x = 2,324,403,538.99
  5. Step 5: Solve for x
    x = 2,324,403,538.99/76,428.86
  6. Step 6: Final answer
    x = 30,412.64

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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.