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Finding the Fourth Proportional to 206,311.86, 309,472.08 and 66,070.08

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Solution

The fourth proportional to 206,311.86, 309,472.08 and 66,070.08 is: 99,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,311.86 : 309,472.08 = 66,070.08 : x
  2. Step 2: Convert to fraction form
    206,311.86/309,472.08 = 66,070.08/x
  3. Step 3: Cross multiply
    206,311.86x = 309,472.08 × 66,070.08
  4. Step 4: Simplify right side
    206,311.86x = 20,446,845,083.37
  5. Step 5: Solve for x
    x = 20,446,845,083.37/206,311.86
  6. Step 6: Final answer
    x = 99,106.49

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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.