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Finding the Fourth Proportional to 78,481.64, 117,710.94 and 25,884.38

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Solution

The fourth proportional to 78,481.64, 117,710.94 and 25,884.38 is: 38,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.64 : 117,710.94 = 25,884.38 : x
  2. Step 2: Convert to fraction form
    78,481.64/117,710.94 = 25,884.38/x
  3. Step 3: Cross multiply
    78,481.64x = 117,710.94 × 25,884.38
  4. Step 4: Simplify right side
    78,481.64x = 3,046,874,701.12
  5. Step 5: Solve for x
    x = 3,046,874,701.12/78,481.64
  6. Step 6: Final answer
    x = 38,822.77

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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.