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Finding the Fourth Proportional to 206,615.80, 309,405.30 and 136,113.40

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Solution

The fourth proportional to 206,615.80, 309,405.30 and 136,113.40 is: 203,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,615.80 : 309,405.30 = 136,113.40 : x
  2. Step 2: Convert to fraction form
    206,615.80/309,405.30 = 136,113.40/x
  3. Step 3: Cross multiply
    206,615.80x = 309,405.30 × 136,113.40
  4. Step 4: Simplify right side
    206,615.80x = 42,114,207,361.02
  5. Step 5: Solve for x
    x = 42,114,207,361.02/206,615.80
  6. Step 6: Final answer
    x = 203,828.59

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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.