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Finding the Fourth Proportional to 43,395, 65,102.16 and 18,435.84

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Solution

The fourth proportional to 43,395, 65,102.16 and 18,435.84 is: 27,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,395 : 65,102.16 = 18,435.84 : x
  2. Step 2: Convert to fraction form
    43,395/65,102.16 = 18,435.84/x
  3. Step 3: Cross multiply
    43,395x = 65,102.16 × 18,435.84
  4. Step 4: Simplify right side
    43,395x = 1,200,213,005.41
  5. Step 5: Solve for x
    x = 1,200,213,005.41/43,395
  6. Step 6: Final answer
    x = 27,657.86

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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.