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Finding the Fourth Proportional to 206,919.02, 310,329.32 and 57,156

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Solution

The fourth proportional to 206,919.02, 310,329.32 and 57,156 is: 85,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,919.02 : 310,329.32 = 57,156 : x
  2. Step 2: Convert to fraction form
    206,919.02/310,329.32 = 57,156/x
  3. Step 3: Cross multiply
    206,919.02x = 310,329.32 × 57,156
  4. Step 4: Simplify right side
    206,919.02x = 17,737,182,613.92
  5. Step 5: Solve for x
    x = 17,737,182,613.92/206,919.02
  6. Step 6: Final answer
    x = 85,720.41

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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.