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Finding the Fourth Proportional to 100,859.54, 151,311.78 and 30,744.32

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Solution

The fourth proportional to 100,859.54, 151,311.78 and 30,744.32 is: 46,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,859.54 : 151,311.78 = 30,744.32 : x
  2. Step 2: Convert to fraction form
    100,859.54/151,311.78 = 30,744.32/x
  3. Step 3: Cross multiply
    100,859.54x = 151,311.78 × 30,744.32
  4. Step 4: Simplify right side
    100,859.54x = 4,651,977,784.09
  5. Step 5: Solve for x
    x = 4,651,977,784.09/100,859.54
  6. Step 6: Final answer
    x = 46,123.33

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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.