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Finding the Fourth Proportional to 206,903.64, 310,299.42 and 57,107.90

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Solution

The fourth proportional to 206,903.64, 310,299.42 and 57,107.90 is: 85,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,903.64 : 310,299.42 = 57,107.90 : x
  2. Step 2: Convert to fraction form
    206,903.64/310,299.42 = 57,107.90/x
  3. Step 3: Cross multiply
    206,903.64x = 310,299.42 × 57,107.90
  4. Step 4: Simplify right side
    206,903.64x = 17,720,548,247.42
  5. Step 5: Solve for x
    x = 17,720,548,247.42/206,903.64
  6. Step 6: Final answer
    x = 85,646.38

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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.