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Finding the Fourth Proportional to 206,502.74, 309,311.85 and 101,102.30

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Solution

The fourth proportional to 206,502.74, 309,311.85 and 101,102.30 is: 151,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502.74 : 309,311.85 = 101,102.30 : x
  2. Step 2: Convert to fraction form
    206,502.74/309,311.85 = 101,102.30/x
  3. Step 3: Cross multiply
    206,502.74x = 309,311.85 × 101,102.30
  4. Step 4: Simplify right side
    206,502.74x = 31,272,139,452.26
  5. Step 5: Solve for x
    x = 31,272,139,452.26/206,502.74
  6. Step 6: Final answer
    x = 151,436.92

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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.