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Finding the Fourth Proportional to 78,254.86, 117,396.87 and 25,679.38

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Solution

The fourth proportional to 78,254.86, 117,396.87 and 25,679.38 is: 38,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,254.86 : 117,396.87 = 25,679.38 : x
  2. Step 2: Convert to fraction form
    78,254.86/117,396.87 = 25,679.38/x
  3. Step 3: Cross multiply
    78,254.86x = 117,396.87 × 25,679.38
  4. Step 4: Simplify right side
    78,254.86x = 3,014,678,835.54
  5. Step 5: Solve for x
    x = 3,014,678,835.54/78,254.86
  6. Step 6: Final answer
    x = 38,523.85

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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.