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Finding the Fourth Proportional to 39,765, 59,647.86 and 12,063

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Solution

The fourth proportional to 39,765, 59,647.86 and 12,063 is: 18,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765 : 59,647.86 = 12,063 : x
  2. Step 2: Convert to fraction form
    39,765/59,647.86 = 12,063/x
  3. Step 3: Cross multiply
    39,765x = 59,647.86 × 12,063
  4. Step 4: Simplify right side
    39,765x = 719,532,135.18
  5. Step 5: Solve for x
    x = 719,532,135.18/39,765
  6. Step 6: Final answer
    x = 18,094.61

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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.