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Finding the Fourth Proportional to 71,568.80, 107,353.20 and 65,007.80

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Solution

The fourth proportional to 71,568.80, 107,353.20 and 65,007.80 is: 97,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568.80 : 107,353.20 = 65,007.80 : x
  2. Step 2: Convert to fraction form
    71,568.80/107,353.20 = 65,007.80/x
  3. Step 3: Cross multiply
    71,568.80x = 107,353.20 × 65,007.80
  4. Step 4: Simplify right side
    71,568.80x = 6,978,795,354.96
  5. Step 5: Solve for x
    x = 6,978,795,354.96/71,568.80
  6. Step 6: Final answer
    x = 97,511.70

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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.