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Finding the Fourth Proportional to 71,671.80, 107,382.74 and 43,532.40

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Solution

The fourth proportional to 71,671.80, 107,382.74 and 43,532.40 is: 65,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,671.80 : 107,382.74 = 43,532.40 : x
  2. Step 2: Convert to fraction form
    71,671.80/107,382.74 = 43,532.40/x
  3. Step 3: Cross multiply
    71,671.80x = 107,382.74 × 43,532.40
  4. Step 4: Simplify right side
    71,671.80x = 4,674,628,390.78
  5. Step 5: Solve for x
    x = 4,674,628,390.78/71,671.80
  6. Step 6: Final answer
    x = 65,222.70

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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.