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Finding the Fourth Proportional to 78,193.94, 117,312.75 and 25,640.42

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Solution

The fourth proportional to 78,193.94, 117,312.75 and 25,640.42 is: 38,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.94 : 117,312.75 = 25,640.42 : x
  2. Step 2: Convert to fraction form
    78,193.94/117,312.75 = 25,640.42/x
  3. Step 3: Cross multiply
    78,193.94x = 117,312.75 × 25,640.42
  4. Step 4: Simplify right side
    78,193.94x = 3,007,948,181.36
  5. Step 5: Solve for x
    x = 3,007,948,181.36/78,193.94
  6. Step 6: Final answer
    x = 38,467.79

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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.