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Finding the Fourth Proportional to 78,290.46, 117,411.12 and 25,687.62

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Solution

The fourth proportional to 78,290.46, 117,411.12 and 25,687.62 is: 38,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,290.46 : 117,411.12 = 25,687.62 : x
  2. Step 2: Convert to fraction form
    78,290.46/117,411.12 = 25,687.62/x
  3. Step 3: Cross multiply
    78,290.46x = 117,411.12 × 25,687.62
  4. Step 4: Simplify right side
    78,290.46x = 3,016,012,234.33
  5. Step 5: Solve for x
    x = 3,016,012,234.33/78,290.46
  6. Step 6: Final answer
    x = 38,523.37

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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.