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Finding the Fourth Proportional to 43,700, 65,550.24 and 10,868

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Solution

The fourth proportional to 43,700, 65,550.24 and 10,868 is: 16,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,700 : 65,550.24 = 10,868 : x
  2. Step 2: Convert to fraction form
    43,700/65,550.24 = 10,868/x
  3. Step 3: Cross multiply
    43,700x = 65,550.24 × 10,868
  4. Step 4: Simplify right side
    43,700x = 712,400,008.32
  5. Step 5: Solve for x
    x = 712,400,008.32/43,700
  6. Step 6: Final answer
    x = 16,302.06

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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.