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Finding the Fourth Proportional to 155,912.70, 233,523.45 and 120,738.30

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Solution

The fourth proportional to 155,912.70, 233,523.45 and 120,738.30 is: 180,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,912.70 : 233,523.45 = 120,738.30 : x
  2. Step 2: Convert to fraction form
    155,912.70/233,523.45 = 120,738.30/x
  3. Step 3: Cross multiply
    155,912.70x = 233,523.45 × 120,738.30
  4. Step 4: Simplify right side
    155,912.70x = 28,195,224,363.14
  5. Step 5: Solve for x
    x = 28,195,224,363.14/155,912.70
  6. Step 6: Final answer
    x = 180,839.82

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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.