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Finding the Fourth Proportional to 108,082.56, 162,130.56 and 45,732

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Solution

The fourth proportional to 108,082.56, 162,130.56 and 45,732 is: 68,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,082.56 : 162,130.56 = 45,732 : x
  2. Step 2: Convert to fraction form
    108,082.56/162,130.56 = 45,732/x
  3. Step 3: Cross multiply
    108,082.56x = 162,130.56 × 45,732
  4. Step 4: Simplify right side
    108,082.56x = 7,414,554,769.92
  5. Step 5: Solve for x
    x = 7,414,554,769.92/108,082.56
  6. Step 6: Final answer
    x = 68,600.84

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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.