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Finding the Fourth Proportional to 206,813.15, 310,219.73 and 135,954.35

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Solution

The fourth proportional to 206,813.15, 310,219.73 and 135,954.35 is: 203,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.15 : 310,219.73 = 135,954.35 : x
  2. Step 2: Convert to fraction form
    206,813.15/310,219.73 = 135,954.35/x
  3. Step 3: Cross multiply
    206,813.15x = 310,219.73 × 135,954.35
  4. Step 4: Simplify right side
    206,813.15x = 42,175,721,749.33
  5. Step 5: Solve for x
    x = 42,175,721,749.33/206,813.15
  6. Step 6: Final answer
    x = 203,931.53

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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.