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Finding the Fourth Proportional to 49,071, 73,607.22 and 12,135

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Solution

The fourth proportional to 49,071, 73,607.22 and 12,135 is: 18,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,071 : 73,607.22 = 12,135 : x
  2. Step 2: Convert to fraction form
    49,071/73,607.22 = 12,135/x
  3. Step 3: Cross multiply
    49,071x = 73,607.22 × 12,135
  4. Step 4: Simplify right side
    49,071x = 893,223,614.70
  5. Step 5: Solve for x
    x = 893,223,614.70/49,071
  6. Step 6: Final answer
    x = 18,202.68

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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.