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Finding the Fourth Proportional to 49,051.80, 73,578.42 and 12,115.80

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Solution

The fourth proportional to 49,051.80, 73,578.42 and 12,115.80 is: 18,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,051.80 : 73,578.42 = 12,115.80 : x
  2. Step 2: Convert to fraction form
    49,051.80/73,578.42 = 12,115.80/x
  3. Step 3: Cross multiply
    49,051.80x = 73,578.42 × 12,115.80
  4. Step 4: Simplify right side
    49,051.80x = 891,461,421.04
  5. Step 5: Solve for x
    x = 891,461,421.04/49,051.80
  6. Step 6: Final answer
    x = 18,173.88

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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.