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Finding the Fourth Proportional to 39,768.50, 59,653.11 and 12,066.50

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Solution

The fourth proportional to 39,768.50, 59,653.11 and 12,066.50 is: 18,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,768.50 : 59,653.11 = 12,066.50 : x
  2. Step 2: Convert to fraction form
    39,768.50/59,653.11 = 12,066.50/x
  3. Step 3: Cross multiply
    39,768.50x = 59,653.11 × 12,066.50
  4. Step 4: Simplify right side
    39,768.50x = 719,804,251.82
  5. Step 5: Solve for x
    x = 719,804,251.82/39,768.50
  6. Step 6: Final answer
    x = 18,099.86

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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.