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Finding the Fourth Proportional to 42,242, 63,363 and 11,077.25

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Solution

The fourth proportional to 42,242, 63,363 and 11,077.25 is: 16,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,242 : 63,363 = 11,077.25 : x
  2. Step 2: Convert to fraction form
    42,242/63,363 = 11,077.25/x
  3. Step 3: Cross multiply
    42,242x = 63,363 × 11,077.25
  4. Step 4: Simplify right side
    42,242x = 701,887,791.75
  5. Step 5: Solve for x
    x = 701,887,791.75/42,242
  6. Step 6: Final answer
    x = 16,615.88

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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.