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Finding the Fourth Proportional to 49,472, 74,212.32 and 12,536

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Solution

The fourth proportional to 49,472, 74,212.32 and 12,536 is: 18,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472 : 74,212.32 = 12,536 : x
  2. Step 2: Convert to fraction form
    49,472/74,212.32 = 12,536/x
  3. Step 3: Cross multiply
    49,472x = 74,212.32 × 12,536
  4. Step 4: Simplify right side
    49,472x = 930,325,643.52
  5. Step 5: Solve for x
    x = 930,325,643.52/49,472
  6. Step 6: Final answer
    x = 18,805.09

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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.