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Finding the Fourth Proportional to 66,657.44, 100,035.28 and 31,596.96

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Solution

The fourth proportional to 66,657.44, 100,035.28 and 31,596.96 is: 47,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,657.44 : 100,035.28 = 31,596.96 : x
  2. Step 2: Convert to fraction form
    66,657.44/100,035.28 = 31,596.96/x
  3. Step 3: Cross multiply
    66,657.44x = 100,035.28 × 31,596.96
  4. Step 4: Simplify right side
    66,657.44x = 3,160,810,740.75
  5. Step 5: Solve for x
    x = 3,160,810,740.75/66,657.44
  6. Step 6: Final answer
    x = 47,418.72

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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.