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Finding the Fourth Proportional to 48,784.20, 73,118.70 and 20,704.20

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Solution

The fourth proportional to 48,784.20, 73,118.70 and 20,704.20 is: 31,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.20 : 73,118.70 = 20,704.20 : x
  2. Step 2: Convert to fraction form
    48,784.20/73,118.70 = 20,704.20/x
  3. Step 3: Cross multiply
    48,784.20x = 73,118.70 × 20,704.20
  4. Step 4: Simplify right side
    48,784.20x = 1,513,864,188.54
  5. Step 5: Solve for x
    x = 1,513,864,188.54/48,784.20
  6. Step 6: Final answer
    x = 31,031.85

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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.