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Finding the Fourth Proportional to 55,737, 83,605.50 and 18,801

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Solution

The fourth proportional to 55,737, 83,605.50 and 18,801 is: 28,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,737 : 83,605.50 = 18,801 : x
  2. Step 2: Convert to fraction form
    55,737/83,605.50 = 18,801/x
  3. Step 3: Cross multiply
    55,737x = 83,605.50 × 18,801
  4. Step 4: Simplify right side
    55,737x = 1,571,867,005.50
  5. Step 5: Solve for x
    x = 1,571,867,005.50/55,737
  6. Step 6: Final answer
    x = 28,201.50

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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.