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Finding the Fourth Proportional to 68,438.98, 102,573.69 and 38,766.86

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Solution

The fourth proportional to 68,438.98, 102,573.69 and 38,766.86 is: 58,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,438.98 : 102,573.69 = 38,766.86 : x
  2. Step 2: Convert to fraction form
    68,438.98/102,573.69 = 38,766.86/x
  3. Step 3: Cross multiply
    68,438.98x = 102,573.69 × 38,766.86
  4. Step 4: Simplify right side
    68,438.98x = 3,976,459,879.91
  5. Step 5: Solve for x
    x = 3,976,459,879.91/68,438.98
  6. Step 6: Final answer
    x = 58,102.27

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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.