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Finding the Fourth Proportional to 78,481.42, 117,655.77 and 34,074.58

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Solution

The fourth proportional to 78,481.42, 117,655.77 and 34,074.58 is: 51,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.42 : 117,655.77 = 34,074.58 : x
  2. Step 2: Convert to fraction form
    78,481.42/117,655.77 = 34,074.58/x
  3. Step 3: Cross multiply
    78,481.42x = 117,655.77 × 34,074.58
  4. Step 4: Simplify right side
    78,481.42x = 4,009,070,947.33
  5. Step 5: Solve for x
    x = 4,009,070,947.33/78,481.42
  6. Step 6: Final answer
    x = 51,083.06

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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.