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Finding the Fourth Proportional to 78,380.64, 117,546.12 and 25,777.89

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Solution

The fourth proportional to 78,380.64, 117,546.12 and 25,777.89 is: 38,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,380.64 : 117,546.12 = 25,777.89 : x
  2. Step 2: Convert to fraction form
    78,380.64/117,546.12 = 25,777.89/x
  3. Step 3: Cross multiply
    78,380.64x = 117,546.12 × 25,777.89
  4. Step 4: Simplify right side
    78,380.64x = 3,030,090,951.29
  5. Step 5: Solve for x
    x = 3,030,090,951.29/78,380.64
  6. Step 6: Final answer
    x = 38,658.67

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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.