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Finding the Fourth Proportional to 101,143.38, 151,911.93 and 82,437.24

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Solution

The fourth proportional to 101,143.38, 151,911.93 and 82,437.24 is: 123,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,143.38 : 151,911.93 = 82,437.24 : x
  2. Step 2: Convert to fraction form
    101,143.38/151,911.93 = 82,437.24/x
  3. Step 3: Cross multiply
    101,143.38x = 151,911.93 × 82,437.24
  4. Step 4: Simplify right side
    101,143.38x = 12,523,200,232.27
  5. Step 5: Solve for x
    x = 12,523,200,232.27/101,143.38
  6. Step 6: Final answer
    x = 123,816.31

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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.