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Finding the Fourth Proportional to 43,706.64, 65,457.84 and 40,178.28

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Solution

The fourth proportional to 43,706.64, 65,457.84 and 40,178.28 is: 60,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,706.64 : 65,457.84 = 40,178.28 : x
  2. Step 2: Convert to fraction form
    43,706.64/65,457.84 = 40,178.28/x
  3. Step 3: Cross multiply
    43,706.64x = 65,457.84 × 40,178.28
  4. Step 4: Simplify right side
    43,706.64x = 2,629,983,423.72
  5. Step 5: Solve for x
    x = 2,629,983,423.72/43,706.64
  6. Step 6: Final answer
    x = 60,173.54

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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.