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Finding the Fourth Proportional to 78,174.72, 117,288 and 51,982.56

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Solution

The fourth proportional to 78,174.72, 117,288 and 51,982.56 is: 77,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174.72 : 117,288 = 51,982.56 : x
  2. Step 2: Convert to fraction form
    78,174.72/117,288 = 51,982.56/x
  3. Step 3: Cross multiply
    78,174.72x = 117,288 × 51,982.56
  4. Step 4: Simplify right side
    78,174.72x = 6,096,930,497.28
  5. Step 5: Solve for x
    x = 6,096,930,497.28/78,174.72
  6. Step 6: Final answer
    x = 77,991.08

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1.5x scale

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.