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Finding the Fourth Proportional to 42,571.54, 63,850.02 and 12,174.58

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Solution

The fourth proportional to 42,571.54, 63,850.02 and 12,174.58 is: 18,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,571.54 : 63,850.02 = 12,174.58 : x
  2. Step 2: Convert to fraction form
    42,571.54/63,850.02 = 12,174.58/x
  3. Step 3: Cross multiply
    42,571.54x = 63,850.02 × 12,174.58
  4. Step 4: Simplify right side
    42,571.54x = 777,347,176.49
  5. Step 5: Solve for x
    x = 777,347,176.49/42,571.54
  6. Step 6: Final answer
    x = 18,259.79

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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.