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Finding the Fourth Proportional to 43,500, 65,264.64 and 18,539.04

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Solution

The fourth proportional to 43,500, 65,264.64 and 18,539.04 is: 27,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,500 : 65,264.64 = 18,539.04 : x
  2. Step 2: Convert to fraction form
    43,500/65,264.64 = 18,539.04/x
  3. Step 3: Cross multiply
    43,500x = 65,264.64 × 18,539.04
  4. Step 4: Simplify right side
    43,500x = 1,209,943,771.55
  5. Step 5: Solve for x
    x = 1,209,943,771.55/43,500
  6. Step 6: Final answer
    x = 27,814.80

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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.