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Finding the Fourth Proportional to 78,297.96, 117,458.88 and 25,695

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Solution

The fourth proportional to 78,297.96, 117,458.88 and 25,695 is: 38,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,297.96 : 117,458.88 = 25,695 : x
  2. Step 2: Convert to fraction form
    78,297.96/117,458.88 = 25,695/x
  3. Step 3: Cross multiply
    78,297.96x = 117,458.88 × 25,695
  4. Step 4: Simplify right side
    78,297.96x = 3,018,105,921.60
  5. Step 5: Solve for x
    x = 3,018,105,921.60/78,297.96
  6. Step 6: Final answer
    x = 38,546.42

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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.