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Finding the Fourth Proportional to 42,057.80, 63,076.97 and 12,468.50

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Solution

The fourth proportional to 42,057.80, 63,076.97 and 12,468.50 is: 18,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057.80 : 63,076.97 = 12,468.50 : x
  2. Step 2: Convert to fraction form
    42,057.80/63,076.97 = 12,468.50/x
  3. Step 3: Cross multiply
    42,057.80x = 63,076.97 × 12,468.50
  4. Step 4: Simplify right side
    42,057.80x = 786,474,822.72
  5. Step 5: Solve for x
    x = 786,474,822.72/42,057.80
  6. Step 6: Final answer
    x = 18,699.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.