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Finding the Fourth Proportional to 206,082, 284,396.04 and 120,038.72

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Solution

The fourth proportional to 206,082, 284,396.04 and 120,038.72 is: 165,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,082 : 284,396.04 = 120,038.72 : x
  2. Step 2: Convert to fraction form
    206,082/284,396.04 = 120,038.72/x
  3. Step 3: Cross multiply
    206,082x = 284,396.04 × 120,038.72
  4. Step 4: Simplify right side
    206,082x = 34,138,536,614.67
  5. Step 5: Solve for x
    x = 34,138,536,614.67/206,082
  6. Step 6: Final answer
    x = 165,655.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.