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Finding the Fourth Proportional to 228,200.20, 342,192.30 and 133,457.80

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Solution

The fourth proportional to 228,200.20, 342,192.30 and 133,457.80 is: 200,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,200.20 : 342,192.30 = 133,457.80 : x
  2. Step 2: Convert to fraction form
    228,200.20/342,192.30 = 133,457.80/x
  3. Step 3: Cross multiply
    228,200.20x = 342,192.30 × 133,457.80
  4. Step 4: Simplify right side
    228,200.20x = 45,668,231,534.94
  5. Step 5: Solve for x
    x = 45,668,231,534.94/228,200.20
  6. Step 6: Final answer
    x = 200,123.54

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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.