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Finding the Fourth Proportional to 101,135.88, 151,900.68 and 82,429.74

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Solution

The fourth proportional to 101,135.88, 151,900.68 and 82,429.74 is: 123,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,135.88 : 151,900.68 = 82,429.74 : x
  2. Step 2: Convert to fraction form
    101,135.88/151,900.68 = 82,429.74/x
  3. Step 3: Cross multiply
    101,135.88x = 151,900.68 × 82,429.74
  4. Step 4: Simplify right side
    101,135.88x = 12,521,133,558.22
  5. Step 5: Solve for x
    x = 12,521,133,558.22/101,135.88
  6. Step 6: Final answer
    x = 123,805.06

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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.