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Finding the Fourth Proportional to 82,200.80, 123,358.80 and 35,487.20

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Solution

The fourth proportional to 82,200.80, 123,358.80 and 35,487.20 is: 53,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200.80 : 123,358.80 = 35,487.20 : x
  2. Step 2: Convert to fraction form
    82,200.80/123,358.80 = 35,487.20/x
  3. Step 3: Cross multiply
    82,200.80x = 123,358.80 × 35,487.20
  4. Step 4: Simplify right side
    82,200.80x = 4,377,658,407.36
  5. Step 5: Solve for x
    x = 4,377,658,407.36/82,200.80
  6. Step 6: Final answer
    x = 53,255.67

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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.