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Finding the Fourth Proportional to 200,146.23, 300,218.58 and 80,256.78

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Solution

The fourth proportional to 200,146.23, 300,218.58 and 80,256.78 is: 120,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,146.23 : 300,218.58 = 80,256.78 : x
  2. Step 2: Convert to fraction form
    200,146.23/300,218.58 = 80,256.78/x
  3. Step 3: Cross multiply
    200,146.23x = 300,218.58 × 80,256.78
  4. Step 4: Simplify right side
    200,146.23x = 24,094,576,526.97
  5. Step 5: Solve for x
    x = 24,094,576,526.97/200,146.23
  6. Step 6: Final answer
    x = 120,384.86

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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.