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Finding the Fourth Proportional to 206,354.07, 309,467.24 and 99,671.76

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Solution

The fourth proportional to 206,354.07, 309,467.24 and 99,671.76 is: 149,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.07 : 309,467.24 = 99,671.76 : x
  2. Step 2: Convert to fraction form
    206,354.07/309,467.24 = 99,671.76/x
  3. Step 3: Cross multiply
    206,354.07x = 309,467.24 × 99,671.76
  4. Step 4: Simplify right side
    206,354.07x = 30,845,144,722.32
  5. Step 5: Solve for x
    x = 30,845,144,722.32/206,354.07
  6. Step 6: Final answer
    x = 149,476.79

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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.