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Finding the Fourth Proportional to 130,049.48, 195,113.54 and 92,172

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Solution

The fourth proportional to 130,049.48, 195,113.54 and 92,172 is: 138,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,049.48 : 195,113.54 = 92,172 : x
  2. Step 2: Convert to fraction form
    130,049.48/195,113.54 = 92,172/x
  3. Step 3: Cross multiply
    130,049.48x = 195,113.54 × 92,172
  4. Step 4: Simplify right side
    130,049.48x = 17,984,005,208.88
  5. Step 5: Solve for x
    x = 17,984,005,208.88/130,049.48
  6. Step 6: Final answer
    x = 138,285.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.