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Finding the Fourth Proportional to 155,396.50, 214,240.70 and 101,589.01

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Solution

The fourth proportional to 155,396.50, 214,240.70 and 101,589.01 is: 140,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,396.50 : 214,240.70 = 101,589.01 : x
  2. Step 2: Convert to fraction form
    155,396.50/214,240.70 = 101,589.01/x
  3. Step 3: Cross multiply
    155,396.50x = 214,240.70 × 101,589.01
  4. Step 4: Simplify right side
    155,396.50x = 21,764,500,333.08
  5. Step 5: Solve for x
    x = 21,764,500,333.08/155,396.50
  6. Step 6: Final answer
    x = 140,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.