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Finding the Fourth Proportional to 252,123.40, 378,185.10 and 133,733.80

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Solution

The fourth proportional to 252,123.40, 378,185.10 and 133,733.80 is: 200,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,123.40 : 378,185.10 = 133,733.80 : x
  2. Step 2: Convert to fraction form
    252,123.40/378,185.10 = 133,733.80/x
  3. Step 3: Cross multiply
    252,123.40x = 378,185.10 × 133,733.80
  4. Step 4: Simplify right side
    252,123.40x = 50,576,130,526.38
  5. Step 5: Solve for x
    x = 50,576,130,526.38/252,123.40
  6. Step 6: Final answer
    x = 200,600.70

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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.