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Finding the Fourth Proportional to 133,683.85, 200,525.78 and 83,917.45

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Solution

The fourth proportional to 133,683.85, 200,525.78 and 83,917.45 is: 125,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,683.85 : 200,525.78 = 83,917.45 : x
  2. Step 2: Convert to fraction form
    133,683.85/200,525.78 = 83,917.45/x
  3. Step 3: Cross multiply
    133,683.85x = 200,525.78 × 83,917.45
  4. Step 4: Simplify right side
    133,683.85x = 16,827,611,697.27
  5. Step 5: Solve for x
    x = 16,827,611,697.27/133,683.85
  6. Step 6: Final answer
    x = 125,876.18

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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.