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Finding the Fourth Proportional to 43,756.64, 65,641.40 and 14,164.64

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Solution

The fourth proportional to 43,756.64, 65,641.40 and 14,164.64 is: 21,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,756.64 : 65,641.40 = 14,164.64 : x
  2. Step 2: Convert to fraction form
    43,756.64/65,641.40 = 14,164.64/x
  3. Step 3: Cross multiply
    43,756.64x = 65,641.40 × 14,164.64
  4. Step 4: Simplify right side
    43,756.64x = 929,786,800.10
  5. Step 5: Solve for x
    x = 929,786,800.10/43,756.64
  6. Step 6: Final answer
    x = 21,249.04

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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.