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Finding the Fourth Proportional to 48,638.40, 72,842.40 and 32,971.20

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Solution

The fourth proportional to 48,638.40, 72,842.40 and 32,971.20 is: 49,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638.40 : 72,842.40 = 32,971.20 : x
  2. Step 2: Convert to fraction form
    48,638.40/72,842.40 = 32,971.20/x
  3. Step 3: Cross multiply
    48,638.40x = 72,842.40 × 32,971.20
  4. Step 4: Simplify right side
    48,638.40x = 2,401,701,338.88
  5. Step 5: Solve for x
    x = 2,401,701,338.88/48,638.40
  6. Step 6: Final answer
    x = 49,378.71

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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.