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Finding the Fourth Proportional to 42,002, 63,015.30 and 12,420.60

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Solution

The fourth proportional to 42,002, 63,015.30 and 12,420.60 is: 18,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,002 : 63,015.30 = 12,420.60 : x
  2. Step 2: Convert to fraction form
    42,002/63,015.30 = 12,420.60/x
  3. Step 3: Cross multiply
    42,002x = 63,015.30 × 12,420.60
  4. Step 4: Simplify right side
    42,002x = 782,687,835.18
  5. Step 5: Solve for x
    x = 782,687,835.18/42,002
  6. Step 6: Final answer
    x = 18,634.54

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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.