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Finding the Fourth Proportional to 43,696, 65,543.90 and 12,531.26

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Solution

The fourth proportional to 43,696, 65,543.90 and 12,531.26 is: 18,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,696 : 65,543.90 = 12,531.26 : x
  2. Step 2: Convert to fraction form
    43,696/65,543.90 = 12,531.26/x
  3. Step 3: Cross multiply
    43,696x = 65,543.90 × 12,531.26
  4. Step 4: Simplify right side
    43,696x = 821,347,652.31
  5. Step 5: Solve for x
    x = 821,347,652.31/43,696
  6. Step 6: Final answer
    x = 18,796.86

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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.