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Finding the Fourth Proportional to 206,814.15, 310,221.23 and 135,955.35

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Solution

The fourth proportional to 206,814.15, 310,221.23 and 135,955.35 is: 203,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.15 : 310,221.23 = 135,955.35 : x
  2. Step 2: Convert to fraction form
    206,814.15/310,221.23 = 135,955.35/x
  3. Step 3: Cross multiply
    206,814.15x = 310,221.23 × 135,955.35
  4. Step 4: Simplify right side
    206,814.15x = 42,176,235,902.08
  5. Step 5: Solve for x
    x = 42,176,235,902.08/206,814.15
  6. Step 6: Final answer
    x = 203,933.03

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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.