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Finding the Fourth Proportional to 206,909.57, 310,358.14 and 57,158.82

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Solution

The fourth proportional to 206,909.57, 310,358.14 and 57,158.82 is: 85,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,909.57 : 310,358.14 = 57,158.82 : x
  2. Step 2: Convert to fraction form
    206,909.57/310,358.14 = 57,158.82/x
  3. Step 3: Cross multiply
    206,909.57x = 310,358.14 × 57,158.82
  4. Step 4: Simplify right side
    206,909.57x = 17,739,704,916.90
  5. Step 5: Solve for x
    x = 17,739,704,916.90/206,909.57
  6. Step 6: Final answer
    x = 85,736.51

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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.