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Finding the Fourth Proportional to 133,082.01, 183,652.05 and 72,651.78

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Solution

The fourth proportional to 133,082.01, 183,652.05 and 72,651.78 is: 100,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082.01 : 183,652.05 = 72,651.78 : x
  2. Step 2: Convert to fraction form
    133,082.01/183,652.05 = 72,651.78/x
  3. Step 3: Cross multiply
    133,082.01x = 183,652.05 × 72,651.78
  4. Step 4: Simplify right side
    133,082.01x = 13,342,648,333.15
  5. Step 5: Solve for x
    x = 13,342,648,333.15/133,082.01
  6. Step 6: Final answer
    x = 100,258.84

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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.