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Finding the Fourth Proportional to 39,823, 59,734.50 and 12,121

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Solution

The fourth proportional to 39,823, 59,734.50 and 12,121 is: 18,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,823 : 59,734.50 = 12,121 : x
  2. Step 2: Convert to fraction form
    39,823/59,734.50 = 12,121/x
  3. Step 3: Cross multiply
    39,823x = 59,734.50 × 12,121
  4. Step 4: Simplify right side
    39,823x = 724,041,874.50
  5. Step 5: Solve for x
    x = 724,041,874.50/39,823
  6. Step 6: Final answer
    x = 18,181.50

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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.