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Finding the Fourth Proportional to 61,115.28, 84,338.97 and 37,242

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Solution

The fourth proportional to 61,115.28, 84,338.97 and 37,242 is: 51,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,115.28 : 84,338.97 = 37,242 : x
  2. Step 2: Convert to fraction form
    61,115.28/84,338.97 = 37,242/x
  3. Step 3: Cross multiply
    61,115.28x = 84,338.97 × 37,242
  4. Step 4: Simplify right side
    61,115.28x = 3,140,951,920.74
  5. Step 5: Solve for x
    x = 3,140,951,920.74/61,115.28
  6. Step 6: Final answer
    x = 51,393.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.