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Finding the Fourth Proportional to 225,652, 311,311.20 and 145,066.72

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Solution

The fourth proportional to 225,652, 311,311.20 and 145,066.72 is: 200,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,652 : 311,311.20 = 145,066.72 : x
  2. Step 2: Convert to fraction form
    225,652/311,311.20 = 145,066.72/x
  3. Step 3: Cross multiply
    225,652x = 311,311.20 × 145,066.72
  4. Step 4: Simplify right side
    225,652x = 45,160,894,683.26
  5. Step 5: Solve for x
    x = 45,160,894,683.26/225,652
  6. Step 6: Final answer
    x = 200,135.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.