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Finding the Fourth Proportional to 119,168.88, 178,753.16 and 30,422.40

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Solution

The fourth proportional to 119,168.88, 178,753.16 and 30,422.40 is: 45,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,168.88 : 178,753.16 = 30,422.40 : x
  2. Step 2: Convert to fraction form
    119,168.88/178,753.16 = 30,422.40/x
  3. Step 3: Cross multiply
    119,168.88x = 178,753.16 × 30,422.40
  4. Step 4: Simplify right side
    119,168.88x = 5,438,099,982.67
  5. Step 5: Solve for x
    x = 5,438,099,982.67/119,168.88
  6. Step 6: Final answer
    x = 45,633.56

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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.