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Finding the Fourth Proportional to 201,722.46, 302,403.25 and 83,318.28

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Solution

The fourth proportional to 201,722.46, 302,403.25 and 83,318.28 is: 124,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722.46 : 302,403.25 = 83,318.28 : x
  2. Step 2: Convert to fraction form
    201,722.46/302,403.25 = 83,318.28/x
  3. Step 3: Cross multiply
    201,722.46x = 302,403.25 × 83,318.28
  4. Step 4: Simplify right side
    201,722.46x = 25,195,718,656.41
  5. Step 5: Solve for x
    x = 25,195,718,656.41/201,722.46
  6. Step 6: Final answer
    x = 124,902.89

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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.