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Finding the Fourth Proportional to 49,615.20, 74,401.20 and 20,023.20

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Solution

The fourth proportional to 49,615.20, 74,401.20 and 20,023.20 is: 30,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,615.20 : 74,401.20 = 20,023.20 : x
  2. Step 2: Convert to fraction form
    49,615.20/74,401.20 = 20,023.20/x
  3. Step 3: Cross multiply
    49,615.20x = 74,401.20 × 20,023.20
  4. Step 4: Simplify right side
    49,615.20x = 1,489,750,107.84
  5. Step 5: Solve for x
    x = 1,489,750,107.84/49,615.20
  6. Step 6: Final answer
    x = 30,026.08

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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.