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Finding the Fourth Proportional to 48,080.62, 72,117.69 and 20,378.62

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Solution

The fourth proportional to 48,080.62, 72,117.69 and 20,378.62 is: 30,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,080.62 : 72,117.69 = 20,378.62 : x
  2. Step 2: Convert to fraction form
    48,080.62/72,117.69 = 20,378.62/x
  3. Step 3: Cross multiply
    48,080.62x = 72,117.69 × 20,378.62
  4. Step 4: Simplify right side
    48,080.62x = 1,469,658,999.79
  5. Step 5: Solve for x
    x = 1,469,658,999.79/48,080.62
  6. Step 6: Final answer
    x = 30,566.56

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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.