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Finding the Fourth Proportional to 75,546, 104,253.48 and 42,012

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Solution

The fourth proportional to 75,546, 104,253.48 and 42,012 is: 57,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,546 : 104,253.48 = 42,012 : x
  2. Step 2: Convert to fraction form
    75,546/104,253.48 = 42,012/x
  3. Step 3: Cross multiply
    75,546x = 104,253.48 × 42,012
  4. Step 4: Simplify right side
    75,546x = 4,379,897,201.76
  5. Step 5: Solve for x
    x = 4,379,897,201.76/75,546
  6. Step 6: Final answer
    x = 57,976.56

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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.