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Finding the Fourth Proportional to 42,563.34, 63,845.04 and 11,397.78

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Solution

The fourth proportional to 42,563.34, 63,845.04 and 11,397.78 is: 17,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,563.34 : 63,845.04 = 11,397.78 : x
  2. Step 2: Convert to fraction form
    42,563.34/63,845.04 = 11,397.78/x
  3. Step 3: Cross multiply
    42,563.34x = 63,845.04 × 11,397.78
  4. Step 4: Simplify right side
    42,563.34x = 727,691,720.01
  5. Step 5: Solve for x
    x = 727,691,720.01/42,563.34
  6. Step 6: Final answer
    x = 17,096.68

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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.