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Finding the Fourth Proportional to 71,204.40, 106,576.20 and 65,674.80

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Solution

The fourth proportional to 71,204.40, 106,576.20 and 65,674.80 is: 98,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204.40 : 106,576.20 = 65,674.80 : x
  2. Step 2: Convert to fraction form
    71,204.40/106,576.20 = 65,674.80/x
  3. Step 3: Cross multiply
    71,204.40x = 106,576.20 × 65,674.80
  4. Step 4: Simplify right side
    71,204.40x = 6,999,370,619.76
  5. Step 5: Solve for x
    x = 6,999,370,619.76/71,204.40
  6. Step 6: Final answer
    x = 98,299.69

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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.