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Finding the Fourth Proportional to 49,005, 73,507.50 and 12,069

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Solution

The fourth proportional to 49,005, 73,507.50 and 12,069 is: 18,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,005 : 73,507.50 = 12,069 : x
  2. Step 2: Convert to fraction form
    49,005/73,507.50 = 12,069/x
  3. Step 3: Cross multiply
    49,005x = 73,507.50 × 12,069
  4. Step 4: Simplify right side
    49,005x = 887,162,017.50
  5. Step 5: Solve for x
    x = 887,162,017.50/49,005
  6. Step 6: Final answer
    x = 18,103.50

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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.