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Finding the Fourth Proportional to 78,406.98, 117,650.72 and 38,425.21

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Solution

The fourth proportional to 78,406.98, 117,650.72 and 38,425.21 is: 57,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.98 : 117,650.72 = 38,425.21 : x
  2. Step 2: Convert to fraction form
    78,406.98/117,650.72 = 38,425.21/x
  3. Step 3: Cross multiply
    78,406.98x = 117,650.72 × 38,425.21
  4. Step 4: Simplify right side
    78,406.98x = 4,520,753,622.65
  5. Step 5: Solve for x
    x = 4,520,753,622.65/78,406.98
  6. Step 6: Final answer
    x = 57,657.54

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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.