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Finding the Fourth Proportional to 81,338, 112,316.48 and 51,173.60

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Solution

The fourth proportional to 81,338, 112,316.48 and 51,173.60 is: 70,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,338 : 112,316.48 = 51,173.60 : x
  2. Step 2: Convert to fraction form
    81,338/112,316.48 = 51,173.60/x
  3. Step 3: Cross multiply
    81,338x = 112,316.48 × 51,173.60
  4. Step 4: Simplify right side
    81,338x = 5,747,638,620.93
  5. Step 5: Solve for x
    x = 5,747,638,620.93/81,338
  6. Step 6: Final answer
    x = 70,663.63

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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.