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Finding the Fourth Proportional to 49,251, 73,876.50 and 12,315

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Solution

The fourth proportional to 49,251, 73,876.50 and 12,315 is: 18,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,251 : 73,876.50 = 12,315 : x
  2. Step 2: Convert to fraction form
    49,251/73,876.50 = 12,315/x
  3. Step 3: Cross multiply
    49,251x = 73,876.50 × 12,315
  4. Step 4: Simplify right side
    49,251x = 909,789,097.50
  5. Step 5: Solve for x
    x = 909,789,097.50/49,251
  6. Step 6: Final answer
    x = 18,472.50

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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.