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Finding the Fourth Proportional to 71,771.92, 107,658.12 and 21,852.40

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Solution

The fourth proportional to 71,771.92, 107,658.12 and 21,852.40 is: 32,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,771.92 : 107,658.12 = 21,852.40 : x
  2. Step 2: Convert to fraction form
    71,771.92/107,658.12 = 21,852.40/x
  3. Step 3: Cross multiply
    71,771.92x = 107,658.12 × 21,852.40
  4. Step 4: Simplify right side
    71,771.92x = 2,352,588,301.49
  5. Step 5: Solve for x
    x = 2,352,588,301.49/71,771.92
  6. Step 6: Final answer
    x = 32,778.67

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1.5x scale

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.