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Finding the Fourth Proportional to 72,105.78, 108,082.08 and 42,537.54

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Solution

The fourth proportional to 72,105.78, 108,082.08 and 42,537.54 is: 63,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,105.78 : 108,082.08 = 42,537.54 : x
  2. Step 2: Convert to fraction form
    72,105.78/108,082.08 = 42,537.54/x
  3. Step 3: Cross multiply
    72,105.78x = 108,082.08 × 42,537.54
  4. Step 4: Simplify right side
    72,105.78x = 4,597,545,801.28
  5. Step 5: Solve for x
    x = 4,597,545,801.28/72,105.78
  6. Step 6: Final answer
    x = 63,761.13

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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.