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Finding the Fourth Proportional to 206,850.35, 310,054.80 and 117,912.35

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Solution

The fourth proportional to 206,850.35, 310,054.80 and 117,912.35 is: 176,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,850.35 : 310,054.80 = 117,912.35 : x
  2. Step 2: Convert to fraction form
    206,850.35/310,054.80 = 117,912.35/x
  3. Step 3: Cross multiply
    206,850.35x = 310,054.80 × 117,912.35
  4. Step 4: Simplify right side
    206,850.35x = 36,559,290,096.78
  5. Step 5: Solve for x
    x = 36,559,290,096.78/206,850.35
  6. Step 6: Final answer
    x = 176,742.70

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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.