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Finding the Fourth Proportional to 71,205.74, 106,715.19 and 52,397.72

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Solution

The fourth proportional to 71,205.74, 106,715.19 and 52,397.72 is: 78,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.74 : 106,715.19 = 52,397.72 : x
  2. Step 2: Convert to fraction form
    71,205.74/106,715.19 = 52,397.72/x
  3. Step 3: Cross multiply
    71,205.74x = 106,715.19 × 52,397.72
  4. Step 4: Simplify right side
    71,205.74x = 5,591,632,645.37
  5. Step 5: Solve for x
    x = 5,591,632,645.37/71,205.74
  6. Step 6: Final answer
    x = 78,527.84

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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.