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Finding the Fourth Proportional to 78,175.90, 117,288.96 and 25,573.42

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Solution

The fourth proportional to 78,175.90, 117,288.96 and 25,573.42 is: 38,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.90 : 117,288.96 = 25,573.42 : x
  2. Step 2: Convert to fraction form
    78,175.90/117,288.96 = 25,573.42/x
  3. Step 3: Cross multiply
    78,175.90x = 117,288.96 × 25,573.42
  4. Step 4: Simplify right side
    78,175.90x = 2,999,479,835.44
  5. Step 5: Solve for x
    x = 2,999,479,835.44/78,175.90
  6. Step 6: Final answer
    x = 38,368.34

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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.