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Finding the Fourth Proportional to 43,720, 65,580.18 and 16,018

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Solution

The fourth proportional to 43,720, 65,580.18 and 16,018 is: 24,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,720 : 65,580.18 = 16,018 : x
  2. Step 2: Convert to fraction form
    43,720/65,580.18 = 16,018/x
  3. Step 3: Cross multiply
    43,720x = 65,580.18 × 16,018
  4. Step 4: Simplify right side
    43,720x = 1,050,463,323.24
  5. Step 5: Solve for x
    x = 1,050,463,323.24/43,720
  6. Step 6: Final answer
    x = 24,027.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.